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Finding the Fourth Proportional to 628.24, 866.88 and 379.52

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Solution

The fourth proportional to 628.24, 866.88 and 379.52 is: 523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 866.88 = 379.52 : x
  2. Step 2: Convert to fraction form
    628.24/866.88 = 379.52/x
  3. Step 3: Cross multiply
    628.24x = 866.88 × 379.52
  4. Step 4: Simplify right side
    628.24x = 328,998.30
  5. Step 5: Solve for x
    x = 328,998.30/628.24
  6. Step 6: Final answer
    x = 523.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.