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Finding the Fourth Proportional to 375.60, 563.52 and 231.42

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Solution

The fourth proportional to 375.60, 563.52 and 231.42 is: 347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 563.52 = 231.42 : x
  2. Step 2: Convert to fraction form
    375.60/563.52 = 231.42/x
  3. Step 3: Cross multiply
    375.60x = 563.52 × 231.42
  4. Step 4: Simplify right side
    375.60x = 130,409.80
  5. Step 5: Solve for x
    x = 130,409.80/375.60
  6. Step 6: Final answer
    x = 347.20

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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.