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Finding the Fourth Proportional to 659.62, 989.15 and 264.25

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Solution

The fourth proportional to 659.62, 989.15 and 264.25 is: 396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.62 : 989.15 = 264.25 : x
  2. Step 2: Convert to fraction form
    659.62/989.15 = 264.25/x
  3. Step 3: Cross multiply
    659.62x = 989.15 × 264.25
  4. Step 4: Simplify right side
    659.62x = 261,381.57
  5. Step 5: Solve for x
    x = 261,381.57/659.62
  6. Step 6: Final answer
    x = 396.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.