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Finding the Fourth Proportional to 394.32, 590.94 and 286.08

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Solution

The fourth proportional to 394.32, 590.94 and 286.08 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 590.94 = 286.08 : x
  2. Step 2: Convert to fraction form
    394.32/590.94 = 286.08/x
  3. Step 3: Cross multiply
    394.32x = 590.94 × 286.08
  4. Step 4: Simplify right side
    394.32x = 169,056.12
  5. Step 5: Solve for x
    x = 169,056.12/394.32
  6. Step 6: Final answer
    x = 428.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.