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Finding the Fourth Proportional to 542.58, 813.40 and 195.84

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Solution

The fourth proportional to 542.58, 813.40 and 195.84 is: 293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 813.40 = 195.84 : x
  2. Step 2: Convert to fraction form
    542.58/813.40 = 195.84/x
  3. Step 3: Cross multiply
    542.58x = 813.40 × 195.84
  4. Step 4: Simplify right side
    542.58x = 159,291.21
  5. Step 5: Solve for x
    x = 159,291.21/542.58
  6. Step 6: Final answer
    x = 293.58

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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.