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Finding the Fourth Proportional to 387.06, 534.11 and 219.01

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Solution

The fourth proportional to 387.06, 534.11 and 219.01 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.06 : 534.11 = 219.01 : x
  2. Step 2: Convert to fraction form
    387.06/534.11 = 219.01/x
  3. Step 3: Cross multiply
    387.06x = 534.11 × 219.01
  4. Step 4: Simplify right side
    387.06x = 116,975.43
  5. Step 5: Solve for x
    x = 116,975.43/387.06
  6. Step 6: Final answer
    x = 302.22

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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.