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Finding the Fourth Proportional to 629.53, 869.17 and 463.93

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Solution

The fourth proportional to 629.53, 869.17 and 463.93 is: 640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.53 : 869.17 = 463.93 : x
  2. Step 2: Convert to fraction form
    629.53/869.17 = 463.93/x
  3. Step 3: Cross multiply
    629.53x = 869.17 × 463.93
  4. Step 4: Simplify right side
    629.53x = 403,229.69
  5. Step 5: Solve for x
    x = 403,229.69/629.53
  6. Step 6: Final answer
    x = 640.53

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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.