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Finding the Fourth Proportional to 618.66, 854.05 and 478.46

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Solution

The fourth proportional to 618.66, 854.05 and 478.46 is: 660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.66 : 854.05 = 478.46 : x
  2. Step 2: Convert to fraction form
    618.66/854.05 = 478.46/x
  3. Step 3: Cross multiply
    618.66x = 854.05 × 478.46
  4. Step 4: Simplify right side
    618.66x = 408,624.49
  5. Step 5: Solve for x
    x = 408,624.49/618.66
  6. Step 6: Final answer
    x = 660.50

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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.