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Finding the Fourth Proportional to 578.38, 866.78 and 253.34

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Solution

The fourth proportional to 578.38, 866.78 and 253.34 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.38 : 866.78 = 253.34 : x
  2. Step 2: Convert to fraction form
    578.38/866.78 = 253.34/x
  3. Step 3: Cross multiply
    578.38x = 866.78 × 253.34
  4. Step 4: Simplify right side
    578.38x = 219,590.05
  5. Step 5: Solve for x
    x = 219,590.05/578.38
  6. Step 6: Final answer
    x = 379.66

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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.