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Finding the Fourth Proportional to 338.08, 506.09 and 216.46

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Solution

The fourth proportional to 338.08, 506.09 and 216.46 is: 324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.08 : 506.09 = 216.46 : x
  2. Step 2: Convert to fraction form
    338.08/506.09 = 216.46/x
  3. Step 3: Cross multiply
    338.08x = 506.09 × 216.46
  4. Step 4: Simplify right side
    338.08x = 109,547.16
  5. Step 5: Solve for x
    x = 109,547.16/338.08
  6. Step 6: Final answer
    x = 324.03

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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.