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Finding the Fourth Proportional to 384.98, 531.29 and 219.24

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Solution

The fourth proportional to 384.98, 531.29 and 219.24 is: 302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.98 : 531.29 = 219.24 : x
  2. Step 2: Convert to fraction form
    384.98/531.29 = 219.24/x
  3. Step 3: Cross multiply
    384.98x = 531.29 × 219.24
  4. Step 4: Simplify right side
    384.98x = 116,479.33
  5. Step 5: Solve for x
    x = 116,479.33/384.98
  6. Step 6: Final answer
    x = 302.56

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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.