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Finding the Fourth Proportional to 765.33, 1,148.27 and 326.71

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Solution

The fourth proportional to 765.33, 1,148.27 and 326.71 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.33 : 1,148.27 = 326.71 : x
  2. Step 2: Convert to fraction form
    765.33/1,148.27 = 326.71/x
  3. Step 3: Cross multiply
    765.33x = 1,148.27 × 326.71
  4. Step 4: Simplify right side
    765.33x = 375,151.29
  5. Step 5: Solve for x
    x = 375,151.29/765.33
  6. Step 6: Final answer
    x = 490.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.