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Finding the Fourth Proportional to 315.09, 471.94 and 308.86

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Solution

The fourth proportional to 315.09, 471.94 and 308.86 is: 462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 471.94 = 308.86 : x
  2. Step 2: Convert to fraction form
    315.09/471.94 = 308.86/x
  3. Step 3: Cross multiply
    315.09x = 471.94 × 308.86
  4. Step 4: Simplify right side
    315.09x = 145,763.39
  5. Step 5: Solve for x
    x = 145,763.39/315.09
  6. Step 6: Final answer
    x = 462.61

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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.