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Finding the Fourth Proportional to 629.55, 869.09 and 592.16

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Solution

The fourth proportional to 629.55, 869.09 and 592.16 is: 817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.55 : 869.09 = 592.16 : x
  2. Step 2: Convert to fraction form
    629.55/869.09 = 592.16/x
  3. Step 3: Cross multiply
    629.55x = 869.09 × 592.16
  4. Step 4: Simplify right side
    629.55x = 514,633.03
  5. Step 5: Solve for x
    x = 514,633.03/629.55
  6. Step 6: Final answer
    x = 817.46

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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.