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Finding the Fourth Proportional to 562.13, 775.52 and 365.57

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Solution

The fourth proportional to 562.13, 775.52 and 365.57 is: 504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 775.52 = 365.57 : x
  2. Step 2: Convert to fraction form
    562.13/775.52 = 365.57/x
  3. Step 3: Cross multiply
    562.13x = 775.52 × 365.57
  4. Step 4: Simplify right side
    562.13x = 283,505.02
  5. Step 5: Solve for x
    x = 283,505.02/562.13
  6. Step 6: Final answer
    x = 504.34

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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.