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Finding the Fourth Proportional to 717.67, 990.81 and 438.04

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Solution

The fourth proportional to 717.67, 990.81 and 438.04 is: 604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.67 : 990.81 = 438.04 : x
  2. Step 2: Convert to fraction form
    717.67/990.81 = 438.04/x
  3. Step 3: Cross multiply
    717.67x = 990.81 × 438.04
  4. Step 4: Simplify right side
    717.67x = 434,014.41
  5. Step 5: Solve for x
    x = 434,014.41/717.67
  6. Step 6: Final answer
    x = 604.75

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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.