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Finding the Fourth Proportional to 413.31, 570.63 and 318.60

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Solution

The fourth proportional to 413.31, 570.63 and 318.60 is: 439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 570.63 = 318.60 : x
  2. Step 2: Convert to fraction form
    413.31/570.63 = 318.60/x
  3. Step 3: Cross multiply
    413.31x = 570.63 × 318.60
  4. Step 4: Simplify right side
    413.31x = 181,802.72
  5. Step 5: Solve for x
    x = 181,802.72/413.31
  6. Step 6: Final answer
    x = 439.87

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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.