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Finding the Fourth Proportional to 462.56, 694.16 and 206.08

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Solution

The fourth proportional to 462.56, 694.16 and 206.08 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 694.16 = 206.08 : x
  2. Step 2: Convert to fraction form
    462.56/694.16 = 206.08/x
  3. Step 3: Cross multiply
    462.56x = 694.16 × 206.08
  4. Step 4: Simplify right side
    462.56x = 143,052.49
  5. Step 5: Solve for x
    x = 143,052.49/462.56
  6. Step 6: Final answer
    x = 309.26

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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.