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Finding the Fourth Proportional to 370.10, 554.36 and 344.78

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Solution

The fourth proportional to 370.10, 554.36 and 344.78 is: 516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.10 : 554.36 = 344.78 : x
  2. Step 2: Convert to fraction form
    370.10/554.36 = 344.78/x
  3. Step 3: Cross multiply
    370.10x = 554.36 × 344.78
  4. Step 4: Simplify right side
    370.10x = 191,132.24
  5. Step 5: Solve for x
    x = 191,132.24/370.10
  6. Step 6: Final answer
    x = 516.43

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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.