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Finding the Fourth Proportional to 333.33, 459.65 and 233.84

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Solution

The fourth proportional to 333.33, 459.65 and 233.84 is: 322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.33 : 459.65 = 233.84 : x
  2. Step 2: Convert to fraction form
    333.33/459.65 = 233.84/x
  3. Step 3: Cross multiply
    333.33x = 459.65 × 233.84
  4. Step 4: Simplify right side
    333.33x = 107,481.09
  5. Step 5: Solve for x
    x = 107,481.09/333.33
  6. Step 6: Final answer
    x = 322.45

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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.