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Finding the Fourth Proportional to 511.71, 766.80 and 381.10

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Solution

The fourth proportional to 511.71, 766.80 and 381.10 is: 571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.71 : 766.80 = 381.10 : x
  2. Step 2: Convert to fraction form
    511.71/766.80 = 381.10/x
  3. Step 3: Cross multiply
    511.71x = 766.80 × 381.10
  4. Step 4: Simplify right side
    511.71x = 292,227.48
  5. Step 5: Solve for x
    x = 292,227.48/511.71
  6. Step 6: Final answer
    x = 571.08

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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.