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Finding the Fourth Proportional to 307.61, 423.45 and 233.70

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Solution

The fourth proportional to 307.61, 423.45 and 233.70 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 423.45 = 233.70 : x
  2. Step 2: Convert to fraction form
    307.61/423.45 = 233.70/x
  3. Step 3: Cross multiply
    307.61x = 423.45 × 233.70
  4. Step 4: Simplify right side
    307.61x = 98,960.27
  5. Step 5: Solve for x
    x = 98,960.27/307.61
  6. Step 6: Final answer
    x = 321.71

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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.