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Finding the Fourth Proportional to 333.13, 459.61 and 234.94

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Solution

The fourth proportional to 333.13, 459.61 and 234.94 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.13 : 459.61 = 234.94 : x
  2. Step 2: Convert to fraction form
    333.13/459.61 = 234.94/x
  3. Step 3: Cross multiply
    333.13x = 459.61 × 234.94
  4. Step 4: Simplify right side
    333.13x = 107,980.77
  5. Step 5: Solve for x
    x = 107,980.77/333.13
  6. Step 6: Final answer
    x = 324.14

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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.