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Finding the Fourth Proportional to 742.30, 1,024.25 and 458.88

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Solution

The fourth proportional to 742.30, 1,024.25 and 458.88 is: 633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.30 : 1,024.25 = 458.88 : x
  2. Step 2: Convert to fraction form
    742.30/1,024.25 = 458.88/x
  3. Step 3: Cross multiply
    742.30x = 1,024.25 × 458.88
  4. Step 4: Simplify right side
    742.30x = 470,007.84
  5. Step 5: Solve for x
    x = 470,007.84/742.30
  6. Step 6: Final answer
    x = 633.18

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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.