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Finding the Fourth Proportional to 384.91, 531.26 and 219.22

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Solution

The fourth proportional to 384.91, 531.26 and 219.22 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.91 : 531.26 = 219.22 : x
  2. Step 2: Convert to fraction form
    384.91/531.26 = 219.22/x
  3. Step 3: Cross multiply
    384.91x = 531.26 × 219.22
  4. Step 4: Simplify right side
    384.91x = 116,462.82
  5. Step 5: Solve for x
    x = 116,462.82/384.91
  6. Step 6: Final answer
    x = 302.57

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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.