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Finding the Fourth Proportional to 414.30, 621.54 and 198.06

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Solution

The fourth proportional to 414.30, 621.54 and 198.06 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 621.54 = 198.06 : x
  2. Step 2: Convert to fraction form
    414.30/621.54 = 198.06/x
  3. Step 3: Cross multiply
    414.30x = 621.54 × 198.06
  4. Step 4: Simplify right side
    414.30x = 123,102.21
  5. Step 5: Solve for x
    x = 123,102.21/414.30
  6. Step 6: Final answer
    x = 297.13

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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.