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Finding the Fourth Proportional to 578.28, 871.32 and 477.82

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Solution

The fourth proportional to 578.28, 871.32 and 477.82 is: 719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 871.32 = 477.82 : x
  2. Step 2: Convert to fraction form
    578.28/871.32 = 477.82/x
  3. Step 3: Cross multiply
    578.28x = 871.32 × 477.82
  4. Step 4: Simplify right side
    578.28x = 416,329.77
  5. Step 5: Solve for x
    x = 416,329.77/578.28
  6. Step 6: Final answer
    x = 719.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.