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Finding the Fourth Proportional to 659.07, 909.43 and 397.04

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Solution

The fourth proportional to 659.07, 909.43 and 397.04 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.07 : 909.43 = 397.04 : x
  2. Step 2: Convert to fraction form
    659.07/909.43 = 397.04/x
  3. Step 3: Cross multiply
    659.07x = 909.43 × 397.04
  4. Step 4: Simplify right side
    659.07x = 361,074.55
  5. Step 5: Solve for x
    x = 361,074.55/659.07
  6. Step 6: Final answer
    x = 547.85

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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.