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Finding the Fourth Proportional to 555.26, 831.67 and 311.65

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Solution

The fourth proportional to 555.26, 831.67 and 311.65 is: 466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 831.67 = 311.65 : x
  2. Step 2: Convert to fraction form
    555.26/831.67 = 311.65/x
  3. Step 3: Cross multiply
    555.26x = 831.67 × 311.65
  4. Step 4: Simplify right side
    555.26x = 259,187.10
  5. Step 5: Solve for x
    x = 259,187.10/555.26
  6. Step 6: Final answer
    x = 466.79

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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.