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Finding the Fourth Proportional to 298.35, 444.01 and 297.44

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Solution

The fourth proportional to 298.35, 444.01 and 297.44 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 444.01 = 297.44 : x
  2. Step 2: Convert to fraction form
    298.35/444.01 = 297.44/x
  3. Step 3: Cross multiply
    298.35x = 444.01 × 297.44
  4. Step 4: Simplify right side
    298.35x = 132,066.33
  5. Step 5: Solve for x
    x = 132,066.33/298.35
  6. Step 6: Final answer
    x = 442.66

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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.