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Finding the Fourth Proportional to 331.08, 494.23 and 282

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Solution

The fourth proportional to 331.08, 494.23 and 282 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 494.23 = 282 : x
  2. Step 2: Convert to fraction form
    331.08/494.23 = 282/x
  3. Step 3: Cross multiply
    331.08x = 494.23 × 282
  4. Step 4: Simplify right side
    331.08x = 139,372.86
  5. Step 5: Solve for x
    x = 139,372.86/331.08
  6. Step 6: Final answer
    x = 420.96

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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.