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Finding the Fourth Proportional to 370.28, 555.62 and 262.96

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Solution

The fourth proportional to 370.28, 555.62 and 262.96 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.28 : 555.62 = 262.96 : x
  2. Step 2: Convert to fraction form
    370.28/555.62 = 262.96/x
  3. Step 3: Cross multiply
    370.28x = 555.62 × 262.96
  4. Step 4: Simplify right side
    370.28x = 146,105.84
  5. Step 5: Solve for x
    x = 146,105.84/370.28
  6. Step 6: Final answer
    x = 394.58

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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.