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Finding the Fourth Proportional to 413.71, 570.91 and 224.65

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Solution

The fourth proportional to 413.71, 570.91 and 224.65 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.71 : 570.91 = 224.65 : x
  2. Step 2: Convert to fraction form
    413.71/570.91 = 224.65/x
  3. Step 3: Cross multiply
    413.71x = 570.91 × 224.65
  4. Step 4: Simplify right side
    413.71x = 128,254.93
  5. Step 5: Solve for x
    x = 128,254.93/413.71
  6. Step 6: Final answer
    x = 310.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.