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Finding the Fourth Proportional to 285.81, 429.33 and 209.27

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Solution

The fourth proportional to 285.81, 429.33 and 209.27 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.81 : 429.33 = 209.27 : x
  2. Step 2: Convert to fraction form
    285.81/429.33 = 209.27/x
  3. Step 3: Cross multiply
    285.81x = 429.33 × 209.27
  4. Step 4: Simplify right side
    285.81x = 89,843.74
  5. Step 5: Solve for x
    x = 89,843.74/285.81
  6. Step 6: Final answer
    x = 314.35

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