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Finding the Fourth Proportional to 312.32, 430.80 and 301.76

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Solution

The fourth proportional to 312.32, 430.80 and 301.76 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 430.80 = 301.76 : x
  2. Step 2: Convert to fraction form
    312.32/430.80 = 301.76/x
  3. Step 3: Cross multiply
    312.32x = 430.80 × 301.76
  4. Step 4: Simplify right side
    312.32x = 129,998.21
  5. Step 5: Solve for x
    x = 129,998.21/312.32
  6. Step 6: Final answer
    x = 416.23

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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.