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Finding the Fourth Proportional to 475.67, 654.14 and 413.57

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Solution

The fourth proportional to 475.67, 654.14 and 413.57 is: 568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.67 : 654.14 = 413.57 : x
  2. Step 2: Convert to fraction form
    475.67/654.14 = 413.57/x
  3. Step 3: Cross multiply
    475.67x = 654.14 × 413.57
  4. Step 4: Simplify right side
    475.67x = 270,535.35
  5. Step 5: Solve for x
    x = 270,535.35/475.67
  6. Step 6: Final answer
    x = 568.74

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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.