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Finding the Fourth Proportional to 704.28, 971.61 and 424.52

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Solution

The fourth proportional to 704.28, 971.61 and 424.52 is: 585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.28 : 971.61 = 424.52 : x
  2. Step 2: Convert to fraction form
    704.28/971.61 = 424.52/x
  3. Step 3: Cross multiply
    704.28x = 971.61 × 424.52
  4. Step 4: Simplify right side
    704.28x = 412,463.02
  5. Step 5: Solve for x
    x = 412,463.02/704.28
  6. Step 6: Final answer
    x = 585.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.