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Finding the Fourth Proportional to 413.64, 570.68 and 247.91

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Solution

The fourth proportional to 413.64, 570.68 and 247.91 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 570.68 = 247.91 : x
  2. Step 2: Convert to fraction form
    413.64/570.68 = 247.91/x
  3. Step 3: Cross multiply
    413.64x = 570.68 × 247.91
  4. Step 4: Simplify right side
    413.64x = 141,473.19
  5. Step 5: Solve for x
    x = 141,473.19/413.64
  6. Step 6: Final answer
    x = 342.02

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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.