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Finding the Fourth Proportional to 704.52, 972.20 and 409.88

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Solution

The fourth proportional to 704.52, 972.20 and 409.88 is: 565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 972.20 = 409.88 : x
  2. Step 2: Convert to fraction form
    704.52/972.20 = 409.88/x
  3. Step 3: Cross multiply
    704.52x = 972.20 × 409.88
  4. Step 4: Simplify right side
    704.52x = 398,485.34
  5. Step 5: Solve for x
    x = 398,485.34/704.52
  6. Step 6: Final answer
    x = 565.61

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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.