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Finding the Fourth Proportional to 704.39, 971.82 and 424.52

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Solution

The fourth proportional to 704.39, 971.82 and 424.52 is: 585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.39 : 971.82 = 424.52 : x
  2. Step 2: Convert to fraction form
    704.39/971.82 = 424.52/x
  3. Step 3: Cross multiply
    704.39x = 971.82 × 424.52
  4. Step 4: Simplify right side
    704.39x = 412,557.03
  5. Step 5: Solve for x
    x = 412,557.03/704.39
  6. Step 6: Final answer
    x = 585.69

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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.