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Finding the Fourth Proportional to 331.92, 498.44 and 288.64

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Solution

The fourth proportional to 331.92, 498.44 and 288.64 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.92 : 498.44 = 288.64 : x
  2. Step 2: Convert to fraction form
    331.92/498.44 = 288.64/x
  3. Step 3: Cross multiply
    331.92x = 498.44 × 288.64
  4. Step 4: Simplify right side
    331.92x = 143,869.72
  5. Step 5: Solve for x
    x = 143,869.72/331.92
  6. Step 6: Final answer
    x = 433.45

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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.