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Finding the Fourth Proportional to 315.76, 473.20 and 233.96

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Solution

The fourth proportional to 315.76, 473.20 and 233.96 is: 350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 473.20 = 233.96 : x
  2. Step 2: Convert to fraction form
    315.76/473.20 = 233.96/x
  3. Step 3: Cross multiply
    315.76x = 473.20 × 233.96
  4. Step 4: Simplify right side
    315.76x = 110,709.87
  5. Step 5: Solve for x
    x = 110,709.87/315.76
  6. Step 6: Final answer
    x = 350.61

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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.