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Finding the Fourth Proportional to 717.75, 990.68 and 407.43

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Solution

The fourth proportional to 717.75, 990.68 and 407.43 is: 562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.75 : 990.68 = 407.43 : x
  2. Step 2: Convert to fraction form
    717.75/990.68 = 407.43/x
  3. Step 3: Cross multiply
    717.75x = 990.68 × 407.43
  4. Step 4: Simplify right side
    717.75x = 403,630.72
  5. Step 5: Solve for x
    x = 403,630.72/717.75
  6. Step 6: Final answer
    x = 562.36

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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.