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Finding the Fourth Proportional to 458.72, 688.24 and 304.70

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Solution

The fourth proportional to 458.72, 688.24 and 304.70 is: 457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 688.24 = 304.70 : x
  2. Step 2: Convert to fraction form
    458.72/688.24 = 304.70/x
  3. Step 3: Cross multiply
    458.72x = 688.24 × 304.70
  4. Step 4: Simplify right side
    458.72x = 209,706.73
  5. Step 5: Solve for x
    x = 209,706.73/458.72
  6. Step 6: Final answer
    x = 457.16

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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.