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Finding the Fourth Proportional to 542.05, 813.28 and 484.64

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Solution

The fourth proportional to 542.05, 813.28 and 484.64 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.05 : 813.28 = 484.64 : x
  2. Step 2: Convert to fraction form
    542.05/813.28 = 484.64/x
  3. Step 3: Cross multiply
    542.05x = 813.28 × 484.64
  4. Step 4: Simplify right side
    542.05x = 394,148.02
  5. Step 5: Solve for x
    x = 394,148.02/542.05
  6. Step 6: Final answer
    x = 727.14

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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.