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Finding the Fourth Proportional to 384.85, 531.10 and 219.06

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Solution

The fourth proportional to 384.85, 531.10 and 219.06 is: 302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.85 : 531.10 = 219.06 : x
  2. Step 2: Convert to fraction form
    384.85/531.10 = 219.06/x
  3. Step 3: Cross multiply
    384.85x = 531.10 × 219.06
  4. Step 4: Simplify right side
    384.85x = 116,342.77
  5. Step 5: Solve for x
    x = 116,342.77/384.85
  6. Step 6: Final answer
    x = 302.31

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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.