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Finding the Fourth Proportional to 384.99, 531.38 and 219.29

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Solution

The fourth proportional to 384.99, 531.38 and 219.29 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 531.38 = 219.29 : x
  2. Step 2: Convert to fraction form
    384.99/531.38 = 219.29/x
  3. Step 3: Cross multiply
    384.99x = 531.38 × 219.29
  4. Step 4: Simplify right side
    384.99x = 116,522.57
  5. Step 5: Solve for x
    x = 116,522.57/384.99
  6. Step 6: Final answer
    x = 302.66

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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.