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Finding the Fourth Proportional to 312.06, 430.03 and 249.89

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Solution

The fourth proportional to 312.06, 430.03 and 249.89 is: 344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 430.03 = 249.89 : x
  2. Step 2: Convert to fraction form
    312.06/430.03 = 249.89/x
  3. Step 3: Cross multiply
    312.06x = 430.03 × 249.89
  4. Step 4: Simplify right side
    312.06x = 107,460.65
  5. Step 5: Solve for x
    x = 107,460.65/312.06
  6. Step 6: Final answer
    x = 344.36

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