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Finding the Fourth Proportional to 402.52, 600.52 and 365.28

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Solution

The fourth proportional to 402.52, 600.52 and 365.28 is: 544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.52 : 600.52 = 365.28 : x
  2. Step 2: Convert to fraction form
    402.52/600.52 = 365.28/x
  3. Step 3: Cross multiply
    402.52x = 600.52 × 365.28
  4. Step 4: Simplify right side
    402.52x = 219,357.95
  5. Step 5: Solve for x
    x = 219,357.95/402.52
  6. Step 6: Final answer
    x = 544.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.