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Finding the Fourth Proportional to 629.64, 868.20 and 546

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Solution

The fourth proportional to 629.64, 868.20 and 546 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.64 : 868.20 = 546 : x
  2. Step 2: Convert to fraction form
    629.64/868.20 = 546/x
  3. Step 3: Cross multiply
    629.64x = 868.20 × 546
  4. Step 4: Simplify right side
    629.64x = 474,037.20
  5. Step 5: Solve for x
    x = 474,037.20/629.64
  6. Step 6: Final answer
    x = 752.87

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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.