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Finding the Fourth Proportional to 659.28, 909.94 and 397.38

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Solution

The fourth proportional to 659.28, 909.94 and 397.38 is: 548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 909.94 = 397.38 : x
  2. Step 2: Convert to fraction form
    659.28/909.94 = 397.38/x
  3. Step 3: Cross multiply
    659.28x = 909.94 × 397.38
  4. Step 4: Simplify right side
    659.28x = 361,591.96
  5. Step 5: Solve for x
    x = 361,591.96/659.28
  6. Step 6: Final answer
    x = 548.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.