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Finding the Fourth Proportional to 408.21, 563.54 and 297.65

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Solution

The fourth proportional to 408.21, 563.54 and 297.65 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.21 : 563.54 = 297.65 : x
  2. Step 2: Convert to fraction form
    408.21/563.54 = 297.65/x
  3. Step 3: Cross multiply
    408.21x = 563.54 × 297.65
  4. Step 4: Simplify right side
    408.21x = 167,733.38
  5. Step 5: Solve for x
    x = 167,733.38/408.21
  6. Step 6: Final answer
    x = 410.90

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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.