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Finding the Fourth Proportional to 578.61, 867.92 and 145.77

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Solution

The fourth proportional to 578.61, 867.92 and 145.77 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.61 : 867.92 = 145.77 : x
  2. Step 2: Convert to fraction form
    578.61/867.92 = 145.77/x
  3. Step 3: Cross multiply
    578.61x = 867.92 × 145.77
  4. Step 4: Simplify right side
    578.61x = 126,515.97
  5. Step 5: Solve for x
    x = 126,515.97/578.61
  6. Step 6: Final answer
    x = 218.66

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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.