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Finding the Fourth Proportional to 704.76, 972.60 and 406.04

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Solution

The fourth proportional to 704.76, 972.60 and 406.04 is: 560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 972.60 = 406.04 : x
  2. Step 2: Convert to fraction form
    704.76/972.60 = 406.04/x
  3. Step 3: Cross multiply
    704.76x = 972.60 × 406.04
  4. Step 4: Simplify right side
    704.76x = 394,914.50
  5. Step 5: Solve for x
    x = 394,914.50/704.76
  6. Step 6: Final answer
    x = 560.35

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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.