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Finding the Fourth Proportional to 552.52, 824.09 and 542.80

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Solution

The fourth proportional to 552.52, 824.09 and 542.80 is: 809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.52 : 824.09 = 542.80 : x
  2. Step 2: Convert to fraction form
    552.52/824.09 = 542.80/x
  3. Step 3: Cross multiply
    552.52x = 824.09 × 542.80
  4. Step 4: Simplify right side
    552.52x = 447,316.05
  5. Step 5: Solve for x
    x = 447,316.05/552.52
  6. Step 6: Final answer
    x = 809.59

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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.