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Finding the Fourth Proportional to 330.32, 494.96 and 278.72

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Solution

The fourth proportional to 330.32, 494.96 and 278.72 is: 417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.32 : 494.96 = 278.72 : x
  2. Step 2: Convert to fraction form
    330.32/494.96 = 278.72/x
  3. Step 3: Cross multiply
    330.32x = 494.96 × 278.72
  4. Step 4: Simplify right side
    330.32x = 137,957.19
  5. Step 5: Solve for x
    x = 137,957.19/330.32
  6. Step 6: Final answer
    x = 417.64

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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.