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Finding the Fourth Proportional to 704.50, 972.21 and 409.75

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Solution

The fourth proportional to 704.50, 972.21 and 409.75 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.50 : 972.21 = 409.75 : x
  2. Step 2: Convert to fraction form
    704.50/972.21 = 409.75/x
  3. Step 3: Cross multiply
    704.50x = 972.21 × 409.75
  4. Step 4: Simplify right side
    704.50x = 398,363.05
  5. Step 5: Solve for x
    x = 398,363.05/704.50
  6. Step 6: Final answer
    x = 565.46

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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.