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Finding the Fourth Proportional to 704.45, 972.09 and 424.69

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Solution

The fourth proportional to 704.45, 972.09 and 424.69 is: 586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.45 : 972.09 = 424.69 : x
  2. Step 2: Convert to fraction form
    704.45/972.09 = 424.69/x
  3. Step 3: Cross multiply
    704.45x = 972.09 × 424.69
  4. Step 4: Simplify right side
    704.45x = 412,834.47
  5. Step 5: Solve for x
    x = 412,834.47/704.45
  6. Step 6: Final answer
    x = 586.04

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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.