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Finding the Fourth Proportional to 578.18, 868.18 and 334.88

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Solution

The fourth proportional to 578.18, 868.18 and 334.88 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.18 : 868.18 = 334.88 : x
  2. Step 2: Convert to fraction form
    578.18/868.18 = 334.88/x
  3. Step 3: Cross multiply
    578.18x = 868.18 × 334.88
  4. Step 4: Simplify right side
    578.18x = 290,730.94
  5. Step 5: Solve for x
    x = 290,730.94/578.18
  6. Step 6: Final answer
    x = 502.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.