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Finding the Fourth Proportional to 709.18, 978.82 and 414.52

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Solution

The fourth proportional to 709.18, 978.82 and 414.52 is: 572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.18 : 978.82 = 414.52 : x
  2. Step 2: Convert to fraction form
    709.18/978.82 = 414.52/x
  3. Step 3: Cross multiply
    709.18x = 978.82 × 414.52
  4. Step 4: Simplify right side
    709.18x = 405,736.98
  5. Step 5: Solve for x
    x = 405,736.98/709.18
  6. Step 6: Final answer
    x = 572.12

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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.