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Finding the Fourth Proportional to 385.33, 531.86 and 219.65

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Solution

The fourth proportional to 385.33, 531.86 and 219.65 is: 303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.33 : 531.86 = 219.65 : x
  2. Step 2: Convert to fraction form
    385.33/531.86 = 219.65/x
  3. Step 3: Cross multiply
    385.33x = 531.86 × 219.65
  4. Step 4: Simplify right side
    385.33x = 116,822.93
  5. Step 5: Solve for x
    x = 116,822.93/385.33
  6. Step 6: Final answer
    x = 303.18

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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.