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Finding the Fourth Proportional to 540.19, 745.44 and 304.14

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Solution

The fourth proportional to 540.19, 745.44 and 304.14 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.19 : 745.44 = 304.14 : x
  2. Step 2: Convert to fraction form
    540.19/745.44 = 304.14/x
  3. Step 3: Cross multiply
    540.19x = 745.44 × 304.14
  4. Step 4: Simplify right side
    540.19x = 226,719.78
  5. Step 5: Solve for x
    x = 226,719.78/540.19
  6. Step 6: Final answer
    x = 419.70

Related Problems

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Half scale
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Double scale
Find fourth proportional to 541.19, 746.82 and 305.14
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.