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Finding the Fourth Proportional to 397.92, 595.96 and 202.31

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Solution

The fourth proportional to 397.92, 595.96 and 202.31 is: 302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 595.96 = 202.31 : x
  2. Step 2: Convert to fraction form
    397.92/595.96 = 202.31/x
  3. Step 3: Cross multiply
    397.92x = 595.96 × 202.31
  4. Step 4: Simplify right side
    397.92x = 120,567.42
  5. Step 5: Solve for x
    x = 120,567.42/397.92
  6. Step 6: Final answer
    x = 302.99

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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.