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Finding the Fourth Proportional to 394.56, 590.88 and 285.84

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Solution

The fourth proportional to 394.56, 590.88 and 285.84 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 590.88 = 285.84 : x
  2. Step 2: Convert to fraction form
    394.56/590.88 = 285.84/x
  3. Step 3: Cross multiply
    394.56x = 590.88 × 285.84
  4. Step 4: Simplify right side
    394.56x = 168,897.14
  5. Step 5: Solve for x
    x = 168,897.14/394.56
  6. Step 6: Final answer
    x = 428.06

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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.