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Finding the Fourth Proportional to 502.60, 694.10 and 415.88

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Solution

The fourth proportional to 502.60, 694.10 and 415.88 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 694.10 = 415.88 : x
  2. Step 2: Convert to fraction form
    502.60/694.10 = 415.88/x
  3. Step 3: Cross multiply
    502.60x = 694.10 × 415.88
  4. Step 4: Simplify right side
    502.60x = 288,662.31
  5. Step 5: Solve for x
    x = 288,662.31/502.60
  6. Step 6: Final answer
    x = 574.34

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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.