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Finding the Fourth Proportional to 331.76, 498.08 and 278.32

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Solution

The fourth proportional to 331.76, 498.08 and 278.32 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.76 : 498.08 = 278.32 : x
  2. Step 2: Convert to fraction form
    331.76/498.08 = 278.32/x
  3. Step 3: Cross multiply
    331.76x = 498.08 × 278.32
  4. Step 4: Simplify right side
    331.76x = 138,625.63
  5. Step 5: Solve for x
    x = 138,625.63/331.76
  6. Step 6: Final answer
    x = 417.85

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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.