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Finding the Fourth Proportional to 659.19, 909.72 and 397.29

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Solution

The fourth proportional to 659.19, 909.72 and 397.29 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.19 : 909.72 = 397.29 : x
  2. Step 2: Convert to fraction form
    659.19/909.72 = 397.29/x
  3. Step 3: Cross multiply
    659.19x = 909.72 × 397.29
  4. Step 4: Simplify right side
    659.19x = 361,422.66
  5. Step 5: Solve for x
    x = 361,422.66/659.19
  6. Step 6: Final answer
    x = 548.28

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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.