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Finding the Fourth Proportional to 542.77, 814.55 and 369.02

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Solution

The fourth proportional to 542.77, 814.55 and 369.02 is: 553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.77 : 814.55 = 369.02 : x
  2. Step 2: Convert to fraction form
    542.77/814.55 = 369.02/x
  3. Step 3: Cross multiply
    542.77x = 814.55 × 369.02
  4. Step 4: Simplify right side
    542.77x = 300,585.43
  5. Step 5: Solve for x
    x = 300,585.43/542.77
  6. Step 6: Final answer
    x = 553.80

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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.