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Finding the Fourth Proportional to 540.44, 745.77 and 304.38

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Solution

The fourth proportional to 540.44, 745.77 and 304.38 is: 420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.44 : 745.77 = 304.38 : x
  2. Step 2: Convert to fraction form
    540.44/745.77 = 304.38/x
  3. Step 3: Cross multiply
    540.44x = 745.77 × 304.38
  4. Step 4: Simplify right side
    540.44x = 226,992.22
  5. Step 5: Solve for x
    x = 226,992.22/540.44
  6. Step 6: Final answer
    x = 420.01

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Double scale
Find fourth proportional to 541.44, 747.14 and 305.38
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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.