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Finding the Fourth Proportional to 659.06, 988.68 and 293.82

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Solution

The fourth proportional to 659.06, 988.68 and 293.82 is: 440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.06 : 988.68 = 293.82 : x
  2. Step 2: Convert to fraction form
    659.06/988.68 = 293.82/x
  3. Step 3: Cross multiply
    659.06x = 988.68 × 293.82
  4. Step 4: Simplify right side
    659.06x = 290,493.96
  5. Step 5: Solve for x
    x = 290,493.96/659.06
  6. Step 6: Final answer
    x = 440.77

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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.