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Finding the Fourth Proportional to 333.84, 458.25 and 296.18

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Solution

The fourth proportional to 333.84, 458.25 and 296.18 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 458.25 = 296.18 : x
  2. Step 2: Convert to fraction form
    333.84/458.25 = 296.18/x
  3. Step 3: Cross multiply
    333.84x = 458.25 × 296.18
  4. Step 4: Simplify right side
    333.84x = 135,724.49
  5. Step 5: Solve for x
    x = 135,724.49/333.84
  6. Step 6: Final answer
    x = 406.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.