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Finding the Fourth Proportional to 717.71, 990.36 and 423.08

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Solution

The fourth proportional to 717.71, 990.36 and 423.08 is: 583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.71 : 990.36 = 423.08 : x
  2. Step 2: Convert to fraction form
    717.71/990.36 = 423.08/x
  3. Step 3: Cross multiply
    717.71x = 990.36 × 423.08
  4. Step 4: Simplify right side
    717.71x = 418,996.56
  5. Step 5: Solve for x
    x = 418,996.56/717.71
  6. Step 6: Final answer
    x = 583.80

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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.