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Finding the Fourth Proportional to 297.48, 413.00 and 288.57

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Solution

The fourth proportional to 297.48, 413.00 and 288.57 is: 400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.48 : 413.00 = 288.57 : x
  2. Step 2: Convert to fraction form
    297.48/413.00 = 288.57/x
  3. Step 3: Cross multiply
    297.48x = 413.00 × 288.57
  4. Step 4: Simplify right side
    297.48x = 119,177.97
  5. Step 5: Solve for x
    x = 119,177.97/297.48
  6. Step 6: Final answer
    x = 400.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.