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Finding the Fourth Proportional to 588.65, 812.33 and 326.66

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Solution

The fourth proportional to 588.65, 812.33 and 326.66 is: 450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.65 : 812.33 = 326.66 : x
  2. Step 2: Convert to fraction form
    588.65/812.33 = 326.66/x
  3. Step 3: Cross multiply
    588.65x = 812.33 × 326.66
  4. Step 4: Simplify right side
    588.65x = 265,350.02
  5. Step 5: Solve for x
    x = 265,350.02/588.65
  6. Step 6: Final answer
    x = 450.78

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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.