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Finding the Fourth Proportional to 540.69, 746.13 and 304.65

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Solution

The fourth proportional to 540.69, 746.13 and 304.65 is: 420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 746.13 = 304.65 : x
  2. Step 2: Convert to fraction form
    540.69/746.13 = 304.65/x
  3. Step 3: Cross multiply
    540.69x = 746.13 × 304.65
  4. Step 4: Simplify right side
    540.69x = 227,303.25
  5. Step 5: Solve for x
    x = 227,303.25/540.69
  6. Step 6: Final answer
    x = 420.39

Related Problems

Find fourth proportional to 270.35, 373.06 and 152.32
Half scale
Find fourth proportional to 1,081.38, 1,492.25 and 609.29
Double scale
Find fourth proportional to 541.69, 747.50 and 305.65
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.