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Finding the Fourth Proportional to 313.74, 434.07 and 306.81

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Solution

The fourth proportional to 313.74, 434.07 and 306.81 is: 424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 434.07 = 306.81 : x
  2. Step 2: Convert to fraction form
    313.74/434.07 = 306.81/x
  3. Step 3: Cross multiply
    313.74x = 434.07 × 306.81
  4. Step 4: Simplify right side
    313.74x = 133,177.02
  5. Step 5: Solve for x
    x = 133,177.02/313.74
  6. Step 6: Final answer
    x = 424.48

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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.