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Finding the Fourth Proportional to 588.96, 883.71 and 300.42

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Solution

The fourth proportional to 588.96, 883.71 and 300.42 is: 450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.71 = 300.42 : x
  2. Step 2: Convert to fraction form
    588.96/883.71 = 300.42/x
  3. Step 3: Cross multiply
    588.96x = 883.71 × 300.42
  4. Step 4: Simplify right side
    588.96x = 265,484.16
  5. Step 5: Solve for x
    x = 265,484.16/588.96
  6. Step 6: Final answer
    x = 450.77

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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.