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Finding the Fourth Proportional to 704.97, 972.69 and 410.06

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Solution

The fourth proportional to 704.97, 972.69 and 410.06 is: 565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.97 : 972.69 = 410.06 : x
  2. Step 2: Convert to fraction form
    704.97/972.69 = 410.06/x
  3. Step 3: Cross multiply
    704.97x = 972.69 × 410.06
  4. Step 4: Simplify right side
    704.97x = 398,856.40
  5. Step 5: Solve for x
    x = 398,856.40/704.97
  6. Step 6: Final answer
    x = 565.78

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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.