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Finding the Fourth Proportional to 709.97, 980.10 and 474.05

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Solution

The fourth proportional to 709.97, 980.10 and 474.05 is: 654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.97 : 980.10 = 474.05 : x
  2. Step 2: Convert to fraction form
    709.97/980.10 = 474.05/x
  3. Step 3: Cross multiply
    709.97x = 980.10 × 474.05
  4. Step 4: Simplify right side
    709.97x = 464,614.03
  5. Step 5: Solve for x
    x = 464,614.03/709.97
  6. Step 6: Final answer
    x = 654.42

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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.