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Finding the Fourth Proportional to 659.30, 989.22 and 293.84

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Solution

The fourth proportional to 659.30, 989.22 and 293.84 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 989.22 = 293.84 : x
  2. Step 2: Convert to fraction form
    659.30/989.22 = 293.84/x
  3. Step 3: Cross multiply
    659.30x = 989.22 × 293.84
  4. Step 4: Simplify right side
    659.30x = 290,672.40
  5. Step 5: Solve for x
    x = 290,672.40/659.30
  6. Step 6: Final answer
    x = 440.88

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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.