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Finding the Fourth Proportional to 659.70, 909.65 and 493.65

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Solution

The fourth proportional to 659.70, 909.65 and 493.65 is: 680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.70 : 909.65 = 493.65 : x
  2. Step 2: Convert to fraction form
    659.70/909.65 = 493.65/x
  3. Step 3: Cross multiply
    659.70x = 909.65 × 493.65
  4. Step 4: Simplify right side
    659.70x = 449,046.25
  5. Step 5: Solve for x
    x = 449,046.25/659.70
  6. Step 6: Final answer
    x = 680.68

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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.