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Finding the Fourth Proportional to 708.71, 978.08 and 414.08

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Solution

The fourth proportional to 708.71, 978.08 and 414.08 is: 571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.71 : 978.08 = 414.08 : x
  2. Step 2: Convert to fraction form
    708.71/978.08 = 414.08/x
  3. Step 3: Cross multiply
    708.71x = 978.08 × 414.08
  4. Step 4: Simplify right side
    708.71x = 404,998.48
  5. Step 5: Solve for x
    x = 404,998.48/708.71
  6. Step 6: Final answer
    x = 571.46

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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.