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Finding the Fourth Proportional to 704.53, 972.10 and 409.78

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Solution

The fourth proportional to 704.53, 972.10 and 409.78 is: 565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.53 : 972.10 = 409.78 : x
  2. Step 2: Convert to fraction form
    704.53/972.10 = 409.78/x
  3. Step 3: Cross multiply
    704.53x = 972.10 × 409.78
  4. Step 4: Simplify right side
    704.53x = 398,347.14
  5. Step 5: Solve for x
    x = 398,347.14/704.53
  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.