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Finding the Fourth Proportional to 330.72, 493.77 and 297.91

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Solution

The fourth proportional to 330.72, 493.77 and 297.91 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.72 : 493.77 = 297.91 : x
  2. Step 2: Convert to fraction form
    330.72/493.77 = 297.91/x
  3. Step 3: Cross multiply
    330.72x = 493.77 × 297.91
  4. Step 4: Simplify right side
    330.72x = 147,099.02
  5. Step 5: Solve for x
    x = 147,099.02/330.72
  6. Step 6: Final answer
    x = 444.78

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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.