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Finding the Fourth Proportional to 709.42, 979.58 and 461.16

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Solution

The fourth proportional to 709.42, 979.58 and 461.16 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.42 : 979.58 = 461.16 : x
  2. Step 2: Convert to fraction form
    709.42/979.58 = 461.16/x
  3. Step 3: Cross multiply
    709.42x = 979.58 × 461.16
  4. Step 4: Simplify right side
    709.42x = 451,743.11
  5. Step 5: Solve for x
    x = 451,743.11/709.42
  6. Step 6: Final answer
    x = 636.78

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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.