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Finding the Fourth Proportional to 306.24, 459.02 and 233.94

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Solution

The fourth proportional to 306.24, 459.02 and 233.94 is: 350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 459.02 = 233.94 : x
  2. Step 2: Convert to fraction form
    306.24/459.02 = 233.94/x
  3. Step 3: Cross multiply
    306.24x = 459.02 × 233.94
  4. Step 4: Simplify right side
    306.24x = 107,383.14
  5. Step 5: Solve for x
    x = 107,383.14/306.24
  6. Step 6: Final answer
    x = 350.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.