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Finding the Fourth Proportional to 335.37, 462.54 and 296.06

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Solution

The fourth proportional to 335.37, 462.54 and 296.06 is: 408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.37 : 462.54 = 296.06 : x
  2. Step 2: Convert to fraction form
    335.37/462.54 = 296.06/x
  3. Step 3: Cross multiply
    335.37x = 462.54 × 296.06
  4. Step 4: Simplify right side
    335.37x = 136,937.28
  5. Step 5: Solve for x
    x = 136,937.28/335.37
  6. Step 6: Final answer
    x = 408.32

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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.