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Finding the Fourth Proportional to 704.48, 972.08 and 409.76

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Solution

The fourth proportional to 704.48, 972.08 and 409.76 is: 565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.48 : 972.08 = 409.76 : x
  2. Step 2: Convert to fraction form
    704.48/972.08 = 409.76/x
  3. Step 3: Cross multiply
    704.48x = 972.08 × 409.76
  4. Step 4: Simplify right side
    704.48x = 398,319.50
  5. Step 5: Solve for x
    x = 398,319.50/704.48
  6. Step 6: Final answer
    x = 565.41

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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.