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Finding the Fourth Proportional to 385.59, 578.16 and 269.42

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Solution

The fourth proportional to 385.59, 578.16 and 269.42 is: 403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.59 : 578.16 = 269.42 : x
  2. Step 2: Convert to fraction form
    385.59/578.16 = 269.42/x
  3. Step 3: Cross multiply
    385.59x = 578.16 × 269.42
  4. Step 4: Simplify right side
    385.59x = 155,764.98
  5. Step 5: Solve for x
    x = 155,764.98/385.59
  6. Step 6: Final answer
    x = 403.97

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Why These Related Problems?

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