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Finding the Fourth Proportional to 413.10, 570.24 and 282.69

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Solution

The fourth proportional to 413.10, 570.24 and 282.69 is: 390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 570.24 = 282.69 : x
  2. Step 2: Convert to fraction form
    413.10/570.24 = 282.69/x
  3. Step 3: Cross multiply
    413.10x = 570.24 × 282.69
  4. Step 4: Simplify right side
    413.10x = 161,201.15
  5. Step 5: Solve for x
    x = 161,201.15/413.10
  6. Step 6: Final answer
    x = 390.22

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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.