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Finding the Fourth Proportional to 475.91, 711.34 and 413.72

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Solution

The fourth proportional to 475.91, 711.34 and 413.72 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.91 : 711.34 = 413.72 : x
  2. Step 2: Convert to fraction form
    475.91/711.34 = 413.72/x
  3. Step 3: Cross multiply
    475.91x = 711.34 × 413.72
  4. Step 4: Simplify right side
    475.91x = 294,293.66
  5. Step 5: Solve for x
    x = 294,293.66/475.91
  6. Step 6: Final answer
    x = 618.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.