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Finding the Fourth Proportional to 285.66, 394.13 and 219.35

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Solution

The fourth proportional to 285.66, 394.13 and 219.35 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 394.13 = 219.35 : x
  2. Step 2: Convert to fraction form
    285.66/394.13 = 219.35/x
  3. Step 3: Cross multiply
    285.66x = 394.13 × 219.35
  4. Step 4: Simplify right side
    285.66x = 86,453.95
  5. Step 5: Solve for x
    x = 86,453.95/285.66
  6. Step 6: Final answer
    x = 302.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.