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Finding the Fourth Proportional to 542.93, 813.78 and 477.72

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Solution

The fourth proportional to 542.93, 813.78 and 477.72 is: 716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 813.78 = 477.72 : x
  2. Step 2: Convert to fraction form
    542.93/813.78 = 477.72/x
  3. Step 3: Cross multiply
    542.93x = 813.78 × 477.72
  4. Step 4: Simplify right side
    542.93x = 388,758.98
  5. Step 5: Solve for x
    x = 388,758.98/542.93
  6. Step 6: Final answer
    x = 716.05

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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.