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Finding the Fourth Proportional to 502.98, 693.47 and 414.15

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Solution

The fourth proportional to 502.98, 693.47 and 414.15 is: 571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.98 : 693.47 = 414.15 : x
  2. Step 2: Convert to fraction form
    502.98/693.47 = 414.15/x
  3. Step 3: Cross multiply
    502.98x = 693.47 × 414.15
  4. Step 4: Simplify right side
    502.98x = 287,201.64
  5. Step 5: Solve for x
    x = 287,201.64/502.98
  6. Step 6: Final answer
    x = 571.00

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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.