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Finding the Fourth Proportional to 717.87, 990.25 and 438.01

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Solution

The fourth proportional to 717.87, 990.25 and 438.01 is: 604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.87 : 990.25 = 438.01 : x
  2. Step 2: Convert to fraction form
    717.87/990.25 = 438.01/x
  3. Step 3: Cross multiply
    717.87x = 990.25 × 438.01
  4. Step 4: Simplify right side
    717.87x = 433,739.40
  5. Step 5: Solve for x
    x = 433,739.40/717.87
  6. Step 6: Final answer
    x = 604.20

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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.