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Finding the Fourth Proportional to 333.30, 459.74 and 233.75

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Solution

The fourth proportional to 333.30, 459.74 and 233.75 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.30 : 459.74 = 233.75 : x
  2. Step 2: Convert to fraction form
    333.30/459.74 = 233.75/x
  3. Step 3: Cross multiply
    333.30x = 459.74 × 233.75
  4. Step 4: Simplify right side
    333.30x = 107,464.23
  5. Step 5: Solve for x
    x = 107,464.23/333.30
  6. Step 6: Final answer
    x = 322.42

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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.