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Finding the Fourth Proportional to 717.89, 990.50 and 423.14

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Solution

The fourth proportional to 717.89, 990.50 and 423.14 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.89 : 990.50 = 423.14 : x
  2. Step 2: Convert to fraction form
    717.89/990.50 = 423.14/x
  3. Step 3: Cross multiply
    717.89x = 990.50 × 423.14
  4. Step 4: Simplify right side
    717.89x = 419,113.10
  5. Step 5: Solve for x
    x = 419,113.10/717.89
  6. Step 6: Final answer
    x = 583.82

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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.