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Finding the Fourth Proportional to 385.33, 531.75 and 210.67

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Solution

The fourth proportional to 385.33, 531.75 and 210.67 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.33 : 531.75 = 210.67 : x
  2. Step 2: Convert to fraction form
    385.33/531.75 = 210.67/x
  3. Step 3: Cross multiply
    385.33x = 531.75 × 210.67
  4. Step 4: Simplify right side
    385.33x = 112,022.44
  5. Step 5: Solve for x
    x = 112,022.44/385.33
  6. Step 6: Final answer
    x = 290.72

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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.