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Finding the Fourth Proportional to 567.60, 849.78 and 423.96

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Solution

The fourth proportional to 567.60, 849.78 and 423.96 is: 634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 849.78 = 423.96 : x
  2. Step 2: Convert to fraction form
    567.60/849.78 = 423.96/x
  3. Step 3: Cross multiply
    567.60x = 849.78 × 423.96
  4. Step 4: Simplify right side
    567.60x = 360,272.73
  5. Step 5: Solve for x
    x = 360,272.73/567.60
  6. Step 6: Final answer
    x = 634.73

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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.