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Finding the Fourth Proportional to 629.88, 945.16 and 476.76

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Solution

The fourth proportional to 629.88, 945.16 and 476.76 is: 715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.88 : 945.16 = 476.76 : x
  2. Step 2: Convert to fraction form
    629.88/945.16 = 476.76/x
  3. Step 3: Cross multiply
    629.88x = 945.16 × 476.76
  4. Step 4: Simplify right side
    629.88x = 450,614.48
  5. Step 5: Solve for x
    x = 450,614.48/629.88
  6. Step 6: Final answer
    x = 715.40

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