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Finding the Fourth Proportional to 618.98, 927.18 and 435.78

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Solution

The fourth proportional to 618.98, 927.18 and 435.78 is: 652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.98 : 927.18 = 435.78 : x
  2. Step 2: Convert to fraction form
    618.98/927.18 = 435.78/x
  3. Step 3: Cross multiply
    618.98x = 927.18 × 435.78
  4. Step 4: Simplify right side
    618.98x = 404,046.50
  5. Step 5: Solve for x
    x = 404,046.50/618.98
  6. Step 6: Final answer
    x = 652.77

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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.