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Finding the Fourth Proportional to 578.30, 866.96 and 253.44

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Solution

The fourth proportional to 578.30, 866.96 and 253.44 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 866.96 = 253.44 : x
  2. Step 2: Convert to fraction form
    578.30/866.96 = 253.44/x
  3. Step 3: Cross multiply
    578.30x = 866.96 × 253.44
  4. Step 4: Simplify right side
    578.30x = 219,722.34
  5. Step 5: Solve for x
    x = 219,722.34/578.30
  6. Step 6: Final answer
    x = 379.95

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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.