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Finding the Fourth Proportional to 375.90, 563.46 and 213.24

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Solution

The fourth proportional to 375.90, 563.46 and 213.24 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.90 : 563.46 = 213.24 : x
  2. Step 2: Convert to fraction form
    375.90/563.46 = 213.24/x
  3. Step 3: Cross multiply
    375.90x = 563.46 × 213.24
  4. Step 4: Simplify right side
    375.90x = 120,150.10
  5. Step 5: Solve for x
    x = 120,150.10/375.90
  6. Step 6: Final answer
    x = 319.64

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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.