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Finding the Fourth Proportional to 659.03, 909.33 and 397.06

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Solution

The fourth proportional to 659.03, 909.33 and 397.06 is: 547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.03 : 909.33 = 397.06 : x
  2. Step 2: Convert to fraction form
    659.03/909.33 = 397.06/x
  3. Step 3: Cross multiply
    659.03x = 909.33 × 397.06
  4. Step 4: Simplify right side
    659.03x = 361,058.57
  5. Step 5: Solve for x
    x = 361,058.57/659.03
  6. Step 6: Final answer
    x = 547.86

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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.