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Finding the Fourth Proportional to 588.96, 883.68 and 264.48

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Solution

The fourth proportional to 588.96, 883.68 and 264.48 is: 396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.68 = 264.48 : x
  2. Step 2: Convert to fraction form
    588.96/883.68 = 264.48/x
  3. Step 3: Cross multiply
    588.96x = 883.68 × 264.48
  4. Step 4: Simplify right side
    588.96x = 233,715.69
  5. Step 5: Solve for x
    x = 233,715.69/588.96
  6. Step 6: Final answer
    x = 396.83

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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.