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Finding the Fourth Proportional to 578.19, 871.19 and 477.74

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Solution

The fourth proportional to 578.19, 871.19 and 477.74 is: 719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 871.19 = 477.74 : x
  2. Step 2: Convert to fraction form
    578.19/871.19 = 477.74/x
  3. Step 3: Cross multiply
    578.19x = 871.19 × 477.74
  4. Step 4: Simplify right side
    578.19x = 416,195.57
  5. Step 5: Solve for x
    x = 416,195.57/578.19
  6. Step 6: Final answer
    x = 719.82

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Why These Related Problems?

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