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Finding the Fourth Proportional to 384.90, 531.23 and 227.62

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Solution

The fourth proportional to 384.90, 531.23 and 227.62 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.90 : 531.23 = 227.62 : x
  2. Step 2: Convert to fraction form
    384.90/531.23 = 227.62/x
  3. Step 3: Cross multiply
    384.90x = 531.23 × 227.62
  4. Step 4: Simplify right side
    384.90x = 120,918.10
  5. Step 5: Solve for x
    x = 120,918.10/384.90
  6. Step 6: Final answer
    x = 314.16

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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.