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Finding the Fourth Proportional to 511.43, 766.58 and 366.71

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Solution

The fourth proportional to 511.43, 766.58 and 366.71 is: 549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.43 : 766.58 = 366.71 : x
  2. Step 2: Convert to fraction form
    511.43/766.58 = 366.71/x
  3. Step 3: Cross multiply
    511.43x = 766.58 × 366.71
  4. Step 4: Simplify right side
    511.43x = 281,112.55
  5. Step 5: Solve for x
    x = 281,112.55/511.43
  6. Step 6: Final answer
    x = 549.66

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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.