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Finding the Fourth Proportional to 297.35, 413.18 and 294.14

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Solution

The fourth proportional to 297.35, 413.18 and 294.14 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.35 : 413.18 = 294.14 : x
  2. Step 2: Convert to fraction form
    297.35/413.18 = 294.14/x
  3. Step 3: Cross multiply
    297.35x = 413.18 × 294.14
  4. Step 4: Simplify right side
    297.35x = 121,533.18
  5. Step 5: Solve for x
    x = 121,533.18/297.35
  6. Step 6: Final answer
    x = 408.72

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Why These Related Problems?

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