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Finding the Fourth Proportional to 384.82, 531.04 and 219.02

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Solution

The fourth proportional to 384.82, 531.04 and 219.02 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 531.04 = 219.02 : x
  2. Step 2: Convert to fraction form
    384.82/531.04 = 219.02/x
  3. Step 3: Cross multiply
    384.82x = 531.04 × 219.02
  4. Step 4: Simplify right side
    384.82x = 116,308.58
  5. Step 5: Solve for x
    x = 116,308.58/384.82
  6. Step 6: Final answer
    x = 302.24

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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.