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Finding the Fourth Proportional to 312.96, 430.50 and 310.86

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Solution

The fourth proportional to 312.96, 430.50 and 310.86 is: 427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 430.50 = 310.86 : x
  2. Step 2: Convert to fraction form
    312.96/430.50 = 310.86/x
  3. Step 3: Cross multiply
    312.96x = 430.50 × 310.86
  4. Step 4: Simplify right side
    312.96x = 133,825.23
  5. Step 5: Solve for x
    x = 133,825.23/312.96
  6. Step 6: Final answer
    x = 427.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.