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Finding the Fourth Proportional to 704.43, 972.12 and 424.68

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Solution

The fourth proportional to 704.43, 972.12 and 424.68 is: 586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.43 : 972.12 = 424.68 : x
  2. Step 2: Convert to fraction form
    704.43/972.12 = 424.68/x
  3. Step 3: Cross multiply
    704.43x = 972.12 × 424.68
  4. Step 4: Simplify right side
    704.43x = 412,839.92
  5. Step 5: Solve for x
    x = 412,839.92/704.43
  6. Step 6: Final answer
    x = 586.06

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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.