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Finding the Fourth Proportional to 542.88, 814.63 and 538.48

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Solution

The fourth proportional to 542.88, 814.63 and 538.48 is: 808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 814.63 = 538.48 : x
  2. Step 2: Convert to fraction form
    542.88/814.63 = 538.48/x
  3. Step 3: Cross multiply
    542.88x = 814.63 × 538.48
  4. Step 4: Simplify right side
    542.88x = 438,660.60
  5. Step 5: Solve for x
    x = 438,660.60/542.88
  6. Step 6: Final answer
    x = 808.02

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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.