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Finding the Fourth Proportional to 717.35, 989.78 and 422.64

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Solution

The fourth proportional to 717.35, 989.78 and 422.64 is: 583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.35 : 989.78 = 422.64 : x
  2. Step 2: Convert to fraction form
    717.35/989.78 = 422.64/x
  3. Step 3: Cross multiply
    717.35x = 989.78 × 422.64
  4. Step 4: Simplify right side
    717.35x = 418,318.51
  5. Step 5: Solve for x
    x = 418,318.51/717.35
  6. Step 6: Final answer
    x = 583.15

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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.