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Finding the Fourth Proportional to 632.52, 873.54 and 502.20

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Solution

The fourth proportional to 632.52, 873.54 and 502.20 is: 693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.52 : 873.54 = 502.20 : x
  2. Step 2: Convert to fraction form
    632.52/873.54 = 502.20/x
  3. Step 3: Cross multiply
    632.52x = 873.54 × 502.20
  4. Step 4: Simplify right side
    632.52x = 438,691.79
  5. Step 5: Solve for x
    x = 438,691.79/632.52
  6. Step 6: Final answer
    x = 693.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.