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Finding the Fourth Proportional to 706.13, 974.32 and 457.41

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Solution

The fourth proportional to 706.13, 974.32 and 457.41 is: 631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 974.32 = 457.41 : x
  2. Step 2: Convert to fraction form
    706.13/974.32 = 457.41/x
  3. Step 3: Cross multiply
    706.13x = 974.32 × 457.41
  4. Step 4: Simplify right side
    706.13x = 445,661.42
  5. Step 5: Solve for x
    x = 445,661.42/706.13
  6. Step 6: Final answer
    x = 631.14

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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.