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Finding the Fourth Proportional to 385.08, 531.47 and 219.29

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Solution

The fourth proportional to 385.08, 531.47 and 219.29 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 531.47 = 219.29 : x
  2. Step 2: Convert to fraction form
    385.08/531.47 = 219.29/x
  3. Step 3: Cross multiply
    385.08x = 531.47 × 219.29
  4. Step 4: Simplify right side
    385.08x = 116,549.49
  5. Step 5: Solve for x
    x = 116,549.49/385.08
  6. Step 6: Final answer
    x = 302.66

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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.