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Finding the Fourth Proportional to 572.28, 789 and 414.78

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Solution

The fourth proportional to 572.28, 789 and 414.78 is: 571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.28 : 789 = 414.78 : x
  2. Step 2: Convert to fraction form
    572.28/789 = 414.78/x
  3. Step 3: Cross multiply
    572.28x = 789 × 414.78
  4. Step 4: Simplify right side
    572.28x = 327,261.42
  5. Step 5: Solve for x
    x = 327,261.42/572.28
  6. Step 6: Final answer
    x = 571.86

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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.