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Finding the Fourth Proportional to 335.36, 462.96 and 258.08

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Solution

The fourth proportional to 335.36, 462.96 and 258.08 is: 356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.36 : 462.96 = 258.08 : x
  2. Step 2: Convert to fraction form
    335.36/462.96 = 258.08/x
  3. Step 3: Cross multiply
    335.36x = 462.96 × 258.08
  4. Step 4: Simplify right side
    335.36x = 119,480.72
  5. Step 5: Solve for x
    x = 119,480.72/335.36
  6. Step 6: Final answer
    x = 356.28

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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.