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Finding the Fourth Proportional to 309.56, 426.67 and 247.19

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Solution

The fourth proportional to 309.56, 426.67 and 247.19 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 426.67 = 247.19 : x
  2. Step 2: Convert to fraction form
    309.56/426.67 = 247.19/x
  3. Step 3: Cross multiply
    309.56x = 426.67 × 247.19
  4. Step 4: Simplify right side
    309.56x = 105,465.81
  5. Step 5: Solve for x
    x = 105,465.81/309.56
  6. Step 6: Final answer
    x = 340.70

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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.