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Finding the Fourth Proportional to 375.54, 563.64 and 213.30

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Solution

The fourth proportional to 375.54, 563.64 and 213.30 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.54 : 563.64 = 213.30 : x
  2. Step 2: Convert to fraction form
    375.54/563.64 = 213.30/x
  3. Step 3: Cross multiply
    375.54x = 563.64 × 213.30
  4. Step 4: Simplify right side
    375.54x = 120,224.41
  5. Step 5: Solve for x
    x = 120,224.41/375.54
  6. Step 6: Final answer
    x = 320.14

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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.