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Finding the Fourth Proportional to 636.78, 955.17 and 378.57

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Solution

The fourth proportional to 636.78, 955.17 and 378.57 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.78 : 955.17 = 378.57 : x
  2. Step 2: Convert to fraction form
    636.78/955.17 = 378.57/x
  3. Step 3: Cross multiply
    636.78x = 955.17 × 378.57
  4. Step 4: Simplify right side
    636.78x = 361,598.71
  5. Step 5: Solve for x
    x = 361,598.71/636.78
  6. Step 6: Final answer
    x = 567.86

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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.