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Finding the Fourth Proportional to 680.72, 939.70 and 457.24

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Solution

The fourth proportional to 680.72, 939.70 and 457.24 is: 631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 939.70 = 457.24 : x
  2. Step 2: Convert to fraction form
    680.72/939.70 = 457.24/x
  3. Step 3: Cross multiply
    680.72x = 939.70 × 457.24
  4. Step 4: Simplify right side
    680.72x = 429,668.43
  5. Step 5: Solve for x
    x = 429,668.43/680.72
  6. Step 6: Final answer
    x = 631.20

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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.