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Finding the Fourth Proportional to 629.33, 944.64 and 476.24

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Solution

The fourth proportional to 629.33, 944.64 and 476.24 is: 714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.33 : 944.64 = 476.24 : x
  2. Step 2: Convert to fraction form
    629.33/944.64 = 476.24/x
  3. Step 3: Cross multiply
    629.33x = 944.64 × 476.24
  4. Step 4: Simplify right side
    629.33x = 449,875.35
  5. Step 5: Solve for x
    x = 449,875.35/629.33
  6. Step 6: Final answer
    x = 714.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.