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Finding the Fourth Proportional to 298.80, 445.85 and 247.77

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Solution

The fourth proportional to 298.80, 445.85 and 247.77 is: 369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.80 : 445.85 = 247.77 : x
  2. Step 2: Convert to fraction form
    298.80/445.85 = 247.77/x
  3. Step 3: Cross multiply
    298.80x = 445.85 × 247.77
  4. Step 4: Simplify right side
    298.80x = 110,467.02
  5. Step 5: Solve for x
    x = 110,467.02/298.80
  6. Step 6: Final answer
    x = 369.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.