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Finding the Fourth Proportional to 706.72, 974.94 and 458.11

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Solution

The fourth proportional to 706.72, 974.94 and 458.11 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.72 : 974.94 = 458.11 : x
  2. Step 2: Convert to fraction form
    706.72/974.94 = 458.11/x
  3. Step 3: Cross multiply
    706.72x = 974.94 × 458.11
  4. Step 4: Simplify right side
    706.72x = 446,629.76
  5. Step 5: Solve for x
    x = 446,629.76/706.72
  6. Step 6: Final answer
    x = 631.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.