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Finding the Fourth Proportional to 618.69, 854.15 and 462.18

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Solution

The fourth proportional to 618.69, 854.15 and 462.18 is: 638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.69 : 854.15 = 462.18 : x
  2. Step 2: Convert to fraction form
    618.69/854.15 = 462.18/x
  3. Step 3: Cross multiply
    618.69x = 854.15 × 462.18
  4. Step 4: Simplify right side
    618.69x = 394,769.54
  5. Step 5: Solve for x
    x = 394,769.54/618.69
  6. Step 6: Final answer
    x = 638.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.