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Finding the Fourth Proportional to 413.08, 570.72 and 351.56

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Solution

The fourth proportional to 413.08, 570.72 and 351.56 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 570.72 = 351.56 : x
  2. Step 2: Convert to fraction form
    413.08/570.72 = 351.56/x
  3. Step 3: Cross multiply
    413.08x = 570.72 × 351.56
  4. Step 4: Simplify right side
    413.08x = 200,642.32
  5. Step 5: Solve for x
    x = 200,642.32/413.08
  6. Step 6: Final answer
    x = 485.72

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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.