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Finding the Fourth Proportional to 578.76, 868.20 and 290.16

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Solution

The fourth proportional to 578.76, 868.20 and 290.16 is: 435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 868.20 = 290.16 : x
  2. Step 2: Convert to fraction form
    578.76/868.20 = 290.16/x
  3. Step 3: Cross multiply
    578.76x = 868.20 × 290.16
  4. Step 4: Simplify right side
    578.76x = 251,916.91
  5. Step 5: Solve for x
    x = 251,916.91/578.76
  6. Step 6: Final answer
    x = 435.27

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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.