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Finding the Fourth Proportional to 307.09, 423.99 and 233.78

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Solution

The fourth proportional to 307.09, 423.99 and 233.78 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.09 : 423.99 = 233.78 : x
  2. Step 2: Convert to fraction form
    307.09/423.99 = 233.78/x
  3. Step 3: Cross multiply
    307.09x = 423.99 × 233.78
  4. Step 4: Simplify right side
    307.09x = 99,119.21
  5. Step 5: Solve for x
    x = 99,119.21/307.09
  6. Step 6: Final answer
    x = 322.77

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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.