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Finding the Fourth Proportional to 476.72, 658 and 454.72

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Solution

The fourth proportional to 476.72, 658 and 454.72 is: 627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 658 = 454.72 : x
  2. Step 2: Convert to fraction form
    476.72/658 = 454.72/x
  3. Step 3: Cross multiply
    476.72x = 658 × 454.72
  4. Step 4: Simplify right side
    476.72x = 299,205.76
  5. Step 5: Solve for x
    x = 299,205.76/476.72
  6. Step 6: Final answer
    x = 627.63

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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.