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Finding the Fourth Proportional to 717.24, 989.80 and 406.76

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Solution

The fourth proportional to 717.24, 989.80 and 406.76 is: 561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.24 : 989.80 = 406.76 : x
  2. Step 2: Convert to fraction form
    717.24/989.80 = 406.76/x
  3. Step 3: Cross multiply
    717.24x = 989.80 × 406.76
  4. Step 4: Simplify right side
    717.24x = 402,611.05
  5. Step 5: Solve for x
    x = 402,611.05/717.24
  6. Step 6: Final answer
    x = 561.33

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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.