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Finding the Fourth Proportional to 659.61, 989.21 and 294.71

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Solution

The fourth proportional to 659.61, 989.21 and 294.71 is: 441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.61 : 989.21 = 294.71 : x
  2. Step 2: Convert to fraction form
    659.61/989.21 = 294.71/x
  3. Step 3: Cross multiply
    659.61x = 989.21 × 294.71
  4. Step 4: Simplify right side
    659.61x = 291,525.87
  5. Step 5: Solve for x
    x = 291,525.87/659.61
  6. Step 6: Final answer
    x = 441.97

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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.