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Finding the Fourth Proportional to 397.31, 595.76 and 153.86

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Solution

The fourth proportional to 397.31, 595.76 and 153.86 is: 230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.31 : 595.76 = 153.86 : x
  2. Step 2: Convert to fraction form
    397.31/595.76 = 153.86/x
  3. Step 3: Cross multiply
    397.31x = 595.76 × 153.86
  4. Step 4: Simplify right side
    397.31x = 91,659.89
  5. Step 5: Solve for x
    x = 91,659.89/397.31
  6. Step 6: Final answer
    x = 230.70

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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.