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Finding the Fourth Proportional to 502.08, 693.38 and 415.68

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Solution

The fourth proportional to 502.08, 693.38 and 415.68 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.08 : 693.38 = 415.68 : x
  2. Step 2: Convert to fraction form
    502.08/693.38 = 415.68/x
  3. Step 3: Cross multiply
    502.08x = 693.38 × 415.68
  4. Step 4: Simplify right side
    502.08x = 288,224.20
  5. Step 5: Solve for x
    x = 288,224.20/502.08
  6. Step 6: Final answer
    x = 574.06

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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.