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Finding the Fourth Proportional to 375.52, 563.10 and 213.16

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Solution

The fourth proportional to 375.52, 563.10 and 213.16 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.52 : 563.10 = 213.16 : x
  2. Step 2: Convert to fraction form
    375.52/563.10 = 213.16/x
  3. Step 3: Cross multiply
    375.52x = 563.10 × 213.16
  4. Step 4: Simplify right side
    375.52x = 120,030.40
  5. Step 5: Solve for x
    x = 120,030.40/375.52
  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.