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Finding the Fourth Proportional to 374.79, 563.40 and 231.42

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Solution

The fourth proportional to 374.79, 563.40 and 231.42 is: 347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.79 : 563.40 = 231.42 : x
  2. Step 2: Convert to fraction form
    374.79/563.40 = 231.42/x
  3. Step 3: Cross multiply
    374.79x = 563.40 × 231.42
  4. Step 4: Simplify right side
    374.79x = 130,382.03
  5. Step 5: Solve for x
    x = 130,382.03/374.79
  6. Step 6: Final answer
    x = 347.88

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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.