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Finding the Fourth Proportional to 342.08, 472.72 and 298.88

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Solution

The fourth proportional to 342.08, 472.72 and 298.88 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.08 : 472.72 = 298.88 : x
  2. Step 2: Convert to fraction form
    342.08/472.72 = 298.88/x
  3. Step 3: Cross multiply
    342.08x = 472.72 × 298.88
  4. Step 4: Simplify right side
    342.08x = 141,286.55
  5. Step 5: Solve for x
    x = 141,286.55/342.08
  6. Step 6: Final answer
    x = 413.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.