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Finding the Fourth Proportional to 508.27, 701.74 and 415.24

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Solution

The fourth proportional to 508.27, 701.74 and 415.24 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.27 : 701.74 = 415.24 : x
  2. Step 2: Convert to fraction form
    508.27/701.74 = 415.24/x
  3. Step 3: Cross multiply
    508.27x = 701.74 × 415.24
  4. Step 4: Simplify right side
    508.27x = 291,387.73
  5. Step 5: Solve for x
    x = 291,387.73/508.27
  6. Step 6: Final answer
    x = 573.29

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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.