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Finding the Fourth Proportional to 384.93, 531.13 and 219.08

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Solution

The fourth proportional to 384.93, 531.13 and 219.08 is: 302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 531.13 = 219.08 : x
  2. Step 2: Convert to fraction form
    384.93/531.13 = 219.08/x
  3. Step 3: Cross multiply
    384.93x = 531.13 × 219.08
  4. Step 4: Simplify right side
    384.93x = 116,359.96
  5. Step 5: Solve for x
    x = 116,359.96/384.93
  6. Step 6: Final answer
    x = 302.29

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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.