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Finding the Fourth Proportional to 394.96, 592.55 and 238.96

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Solution

The fourth proportional to 394.96, 592.55 and 238.96 is: 358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.96 : 592.55 = 238.96 : x
  2. Step 2: Convert to fraction form
    394.96/592.55 = 238.96/x
  3. Step 3: Cross multiply
    394.96x = 592.55 × 238.96
  4. Step 4: Simplify right side
    394.96x = 141,595.75
  5. Step 5: Solve for x
    x = 141,595.75/394.96
  6. Step 6: Final answer
    x = 358.51

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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.