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Finding the Fourth Proportional to 384.96, 531.15 and 219.15

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Solution

The fourth proportional to 384.96, 531.15 and 219.15 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 531.15 = 219.15 : x
  2. Step 2: Convert to fraction form
    384.96/531.15 = 219.15/x
  3. Step 3: Cross multiply
    384.96x = 531.15 × 219.15
  4. Step 4: Simplify right side
    384.96x = 116,401.52
  5. Step 5: Solve for x
    x = 116,401.52/384.96
  6. Step 6: Final answer
    x = 302.37

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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.