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Finding the Fourth Proportional to 578.08, 868.74 and 289.72

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Solution

The fourth proportional to 578.08, 868.74 and 289.72 is: 435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 868.74 = 289.72 : x
  2. Step 2: Convert to fraction form
    578.08/868.74 = 289.72/x
  3. Step 3: Cross multiply
    578.08x = 868.74 × 289.72
  4. Step 4: Simplify right side
    578.08x = 251,691.35
  5. Step 5: Solve for x
    x = 251,691.35/578.08
  6. Step 6: Final answer
    x = 435.39

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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.