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Finding the Fourth Proportional to 285.62, 394.10 and 219.31

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Solution

The fourth proportional to 285.62, 394.10 and 219.31 is: 302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.62 : 394.10 = 219.31 : x
  2. Step 2: Convert to fraction form
    285.62/394.10 = 219.31/x
  3. Step 3: Cross multiply
    285.62x = 394.10 × 219.31
  4. Step 4: Simplify right side
    285.62x = 86,427.00
  5. Step 5: Solve for x
    x = 86,427.00/285.62
  6. Step 6: Final answer
    x = 302.60

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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.