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Finding the Fourth Proportional to 333.92, 458.35 and 296.24

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Solution

The fourth proportional to 333.92, 458.35 and 296.24 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 458.35 = 296.24 : x
  2. Step 2: Convert to fraction form
    333.92/458.35 = 296.24/x
  3. Step 3: Cross multiply
    333.92x = 458.35 × 296.24
  4. Step 4: Simplify right side
    333.92x = 135,781.60
  5. Step 5: Solve for x
    x = 135,781.60/333.92
  6. Step 6: Final answer
    x = 406.63

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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.