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Finding the Fourth Proportional to 370.85, 555.66 and 233.69

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Solution

The fourth proportional to 370.85, 555.66 and 233.69 is: 350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.85 : 555.66 = 233.69 : x
  2. Step 2: Convert to fraction form
    370.85/555.66 = 233.69/x
  3. Step 3: Cross multiply
    370.85x = 555.66 × 233.69
  4. Step 4: Simplify right side
    370.85x = 129,849.41
  5. Step 5: Solve for x
    x = 129,849.41/370.85
  6. Step 6: Final answer
    x = 350.14

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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.