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Finding the Fourth Proportional to 618.72, 928.08 and 542.58

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Solution

The fourth proportional to 618.72, 928.08 and 542.58 is: 813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.72 : 928.08 = 542.58 : x
  2. Step 2: Convert to fraction form
    618.72/928.08 = 542.58/x
  3. Step 3: Cross multiply
    618.72x = 928.08 × 542.58
  4. Step 4: Simplify right side
    618.72x = 503,557.65
  5. Step 5: Solve for x
    x = 503,557.65/618.72
  6. Step 6: Final answer
    x = 813.87

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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.