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Finding the Fourth Proportional to 601.96, 831.11 and 377.99

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Solution

The fourth proportional to 601.96, 831.11 and 377.99 is: 521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.96 : 831.11 = 377.99 : x
  2. Step 2: Convert to fraction form
    601.96/831.11 = 377.99/x
  3. Step 3: Cross multiply
    601.96x = 831.11 × 377.99
  4. Step 4: Simplify right side
    601.96x = 314,151.27
  5. Step 5: Solve for x
    x = 314,151.27/601.96
  6. Step 6: Final answer
    x = 521.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.