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Finding the Fourth Proportional to 709.29, 978.86 and 414.73

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Solution

The fourth proportional to 709.29, 978.86 and 414.73 is: 572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.29 : 978.86 = 414.73 : x
  2. Step 2: Convert to fraction form
    709.29/978.86 = 414.73/x
  3. Step 3: Cross multiply
    709.29x = 978.86 × 414.73
  4. Step 4: Simplify right side
    709.29x = 405,959.64
  5. Step 5: Solve for x
    x = 405,959.64/709.29
  6. Step 6: Final answer
    x = 572.35

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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.