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Finding the Fourth Proportional to 588.96, 883.52 and 300.48

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Solution

The fourth proportional to 588.96, 883.52 and 300.48 is: 450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.52 = 300.48 : x
  2. Step 2: Convert to fraction form
    588.96/883.52 = 300.48/x
  3. Step 3: Cross multiply
    588.96x = 883.52 × 300.48
  4. Step 4: Simplify right side
    588.96x = 265,480.09
  5. Step 5: Solve for x
    x = 265,480.09/588.96
  6. Step 6: Final answer
    x = 450.76

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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.