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Finding the Fourth Proportional to 330.18, 494.81 and 281.18

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Solution

The fourth proportional to 330.18, 494.81 and 281.18 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.18 : 494.81 = 281.18 : x
  2. Step 2: Convert to fraction form
    330.18/494.81 = 281.18/x
  3. Step 3: Cross multiply
    330.18x = 494.81 × 281.18
  4. Step 4: Simplify right side
    330.18x = 139,128.20
  5. Step 5: Solve for x
    x = 139,128.20/330.18
  6. Step 6: Final answer
    x = 421.37

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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.