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Finding the Fourth Proportional to 659.15, 909.46 and 446.85

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Solution

The fourth proportional to 659.15, 909.46 and 446.85 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.15 : 909.46 = 446.85 : x
  2. Step 2: Convert to fraction form
    659.15/909.46 = 446.85/x
  3. Step 3: Cross multiply
    659.15x = 909.46 × 446.85
  4. Step 4: Simplify right side
    659.15x = 406,392.20
  5. Step 5: Solve for x
    x = 406,392.20/659.15
  6. Step 6: Final answer
    x = 616.54

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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.