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Finding the Fourth Proportional to 654.64, 982.08 and 269.88

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Solution

The fourth proportional to 654.64, 982.08 and 269.88 is: 404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.64 : 982.08 = 269.88 : x
  2. Step 2: Convert to fraction form
    654.64/982.08 = 269.88/x
  3. Step 3: Cross multiply
    654.64x = 982.08 × 269.88
  4. Step 4: Simplify right side
    654.64x = 265,043.75
  5. Step 5: Solve for x
    x = 265,043.75/654.64
  6. Step 6: Final answer
    x = 404.87

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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.