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Finding the Fourth Proportional to 567.50, 851.49 and 293.78

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Solution

The fourth proportional to 567.50, 851.49 and 293.78 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.50 : 851.49 = 293.78 : x
  2. Step 2: Convert to fraction form
    567.50/851.49 = 293.78/x
  3. Step 3: Cross multiply
    567.50x = 851.49 × 293.78
  4. Step 4: Simplify right side
    567.50x = 250,150.73
  5. Step 5: Solve for x
    x = 250,150.73/567.50
  6. Step 6: Final answer
    x = 440.79

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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.