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Finding the Fourth Proportional to 330.12, 456.03 and 280.98

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Solution

The fourth proportional to 330.12, 456.03 and 280.98 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.12 : 456.03 = 280.98 : x
  2. Step 2: Convert to fraction form
    330.12/456.03 = 280.98/x
  3. Step 3: Cross multiply
    330.12x = 456.03 × 280.98
  4. Step 4: Simplify right side
    330.12x = 128,135.31
  5. Step 5: Solve for x
    x = 128,135.31/330.12
  6. Step 6: Final answer
    x = 388.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.