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Finding the Fourth Proportional to 427.79, 642.08 and 211.52

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Solution

The fourth proportional to 427.79, 642.08 and 211.52 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.79 : 642.08 = 211.52 : x
  2. Step 2: Convert to fraction form
    427.79/642.08 = 211.52/x
  3. Step 3: Cross multiply
    427.79x = 642.08 × 211.52
  4. Step 4: Simplify right side
    427.79x = 135,810.08
  5. Step 5: Solve for x
    x = 135,810.08/427.79
  6. Step 6: Final answer
    x = 317.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.