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Finding the Fourth Proportional to 331.71, 497.70 and 298.91

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Solution

The fourth proportional to 331.71, 497.70 and 298.91 is: 448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.71 : 497.70 = 298.91 : x
  2. Step 2: Convert to fraction form
    331.71/497.70 = 298.91/x
  3. Step 3: Cross multiply
    331.71x = 497.70 × 298.91
  4. Step 4: Simplify right side
    331.71x = 148,765.02
  5. Step 5: Solve for x
    x = 148,765.02/331.71
  6. Step 6: Final answer
    x = 448.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.