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Finding the Fourth Proportional to 708.82, 978.17 and 414.11

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Solution

The fourth proportional to 708.82, 978.17 and 414.11 is: 571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.82 : 978.17 = 414.11 : x
  2. Step 2: Convert to fraction form
    708.82/978.17 = 414.11/x
  3. Step 3: Cross multiply
    708.82x = 978.17 × 414.11
  4. Step 4: Simplify right side
    708.82x = 405,070.35
  5. Step 5: Solve for x
    x = 405,070.35/708.82
  6. Step 6: Final answer
    x = 571.47

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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.