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Finding the Fourth Proportional to 578.42, 866.91 and 269.87

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Solution

The fourth proportional to 578.42, 866.91 and 269.87 is: 404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 866.91 = 269.87 : x
  2. Step 2: Convert to fraction form
    578.42/866.91 = 269.87/x
  3. Step 3: Cross multiply
    578.42x = 866.91 × 269.87
  4. Step 4: Simplify right side
    578.42x = 233,953.00
  5. Step 5: Solve for x
    x = 233,953.00/578.42
  6. Step 6: Final answer
    x = 404.47

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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.