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Finding the Fourth Proportional to 631.79, 948.18 and 458.54

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Solution

The fourth proportional to 631.79, 948.18 and 458.54 is: 688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.79 : 948.18 = 458.54 : x
  2. Step 2: Convert to fraction form
    631.79/948.18 = 458.54/x
  3. Step 3: Cross multiply
    631.79x = 948.18 × 458.54
  4. Step 4: Simplify right side
    631.79x = 434,773.72
  5. Step 5: Solve for x
    x = 434,773.72/631.79
  6. Step 6: Final answer
    x = 688.17

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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.