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Finding the Fourth Proportional to 709.48, 978.84 and 461.14

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Solution

The fourth proportional to 709.48, 978.84 and 461.14 is: 636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 978.84 = 461.14 : x
  2. Step 2: Convert to fraction form
    709.48/978.84 = 461.14/x
  3. Step 3: Cross multiply
    709.48x = 978.84 × 461.14
  4. Step 4: Simplify right side
    709.48x = 451,382.28
  5. Step 5: Solve for x
    x = 451,382.28/709.48
  6. Step 6: Final answer
    x = 636.22

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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.