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Finding the Fourth Proportional to 337.92, 465.36 and 286.08

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Solution

The fourth proportional to 337.92, 465.36 and 286.08 is: 393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 465.36 = 286.08 : x
  2. Step 2: Convert to fraction form
    337.92/465.36 = 286.08/x
  3. Step 3: Cross multiply
    337.92x = 465.36 × 286.08
  4. Step 4: Simplify right side
    337.92x = 133,130.19
  5. Step 5: Solve for x
    x = 133,130.19/337.92
  6. Step 6: Final answer
    x = 393.97

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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.