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Finding the Fourth Proportional to 578.79, 867.42 and 318.92

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Solution

The fourth proportional to 578.79, 867.42 and 318.92 is: 477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.79 : 867.42 = 318.92 : x
  2. Step 2: Convert to fraction form
    578.79/867.42 = 318.92/x
  3. Step 3: Cross multiply
    578.79x = 867.42 × 318.92
  4. Step 4: Simplify right side
    578.79x = 276,633.25
  5. Step 5: Solve for x
    x = 276,633.25/578.79
  6. Step 6: Final answer
    x = 477.95

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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.