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Finding the Fourth Proportional to 708.77, 978.26 and 414.07

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Solution

The fourth proportional to 708.77, 978.26 and 414.07 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.77 : 978.26 = 414.07 : x
  2. Step 2: Convert to fraction form
    708.77/978.26 = 414.07/x
  3. Step 3: Cross multiply
    708.77x = 978.26 × 414.07
  4. Step 4: Simplify right side
    708.77x = 405,063.60
  5. Step 5: Solve for x
    x = 405,063.60/708.77
  6. Step 6: Final answer
    x = 571.50

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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.