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Finding the Fourth Proportional to 335.86, 463.09 and 286.58

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Solution

The fourth proportional to 335.86, 463.09 and 286.58 is: 395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.86 : 463.09 = 286.58 : x
  2. Step 2: Convert to fraction form
    335.86/463.09 = 286.58/x
  3. Step 3: Cross multiply
    335.86x = 463.09 × 286.58
  4. Step 4: Simplify right side
    335.86x = 132,712.33
  5. Step 5: Solve for x
    x = 132,712.33/335.86
  6. Step 6: Final answer
    x = 395.14

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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.