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Finding the Fourth Proportional to 659.66, 989.17 and 294.24

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Solution

The fourth proportional to 659.66, 989.17 and 294.24 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.66 : 989.17 = 294.24 : x
  2. Step 2: Convert to fraction form
    659.66/989.17 = 294.24/x
  3. Step 3: Cross multiply
    659.66x = 989.17 × 294.24
  4. Step 4: Simplify right side
    659.66x = 291,052.65
  5. Step 5: Solve for x
    x = 291,052.65/659.66
  6. Step 6: Final answer
    x = 441.21

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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.