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Finding the Fourth Proportional to 330.96, 456.66 and 278.40

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Solution

The fourth proportional to 330.96, 456.66 and 278.40 is: 384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 456.66 = 278.40 : x
  2. Step 2: Convert to fraction form
    330.96/456.66 = 278.40/x
  3. Step 3: Cross multiply
    330.96x = 456.66 × 278.40
  4. Step 4: Simplify right side
    330.96x = 127,134.14
  5. Step 5: Solve for x
    x = 127,134.14/330.96
  6. Step 6: Final answer
    x = 384.14

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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.