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Finding the Fourth Proportional to 542.24, 808.20 and 511.49

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Solution

The fourth proportional to 542.24, 808.20 and 511.49 is: 762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 808.20 = 511.49 : x
  2. Step 2: Convert to fraction form
    542.24/808.20 = 511.49/x
  3. Step 3: Cross multiply
    542.24x = 808.20 × 511.49
  4. Step 4: Simplify right side
    542.24x = 413,382.18
  5. Step 5: Solve for x
    x = 413,382.18/542.24
  6. Step 6: Final answer
    x = 762.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.