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Finding the Fourth Proportional to 709.22, 978.76 and 414.60

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Solution

The fourth proportional to 709.22, 978.76 and 414.60 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.22 : 978.76 = 414.60 : x
  2. Step 2: Convert to fraction form
    709.22/978.76 = 414.60/x
  3. Step 3: Cross multiply
    709.22x = 978.76 × 414.60
  4. Step 4: Simplify right side
    709.22x = 405,793.90
  5. Step 5: Solve for x
    x = 405,793.90/709.22
  6. Step 6: Final answer
    x = 572.17

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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.