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Finding the Fourth Proportional to 588.96, 884.16 and 264.96

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Solution

The fourth proportional to 588.96, 884.16 and 264.96 is: 397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 884.16 = 264.96 : x
  2. Step 2: Convert to fraction form
    588.96/884.16 = 264.96/x
  3. Step 3: Cross multiply
    588.96x = 884.16 × 264.96
  4. Step 4: Simplify right side
    588.96x = 234,267.03
  5. Step 5: Solve for x
    x = 234,267.03/588.96
  6. Step 6: Final answer
    x = 397.76

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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.