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Finding the Fourth Proportional to 706.40, 974.37 and 458.04

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Solution

The fourth proportional to 706.40, 974.37 and 458.04 is: 631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.40 : 974.37 = 458.04 : x
  2. Step 2: Convert to fraction form
    706.40/974.37 = 458.04/x
  3. Step 3: Cross multiply
    706.40x = 974.37 × 458.04
  4. Step 4: Simplify right side
    706.40x = 446,298.50
  5. Step 5: Solve for x
    x = 446,298.50/706.40
  6. Step 6: Final answer
    x = 631.79

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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.