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Finding the Fourth Proportional to 505.94, 698.19 and 331.61

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Solution

The fourth proportional to 505.94, 698.19 and 331.61 is: 457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 698.19 = 331.61 : x
  2. Step 2: Convert to fraction form
    505.94/698.19 = 331.61/x
  3. Step 3: Cross multiply
    505.94x = 698.19 × 331.61
  4. Step 4: Simplify right side
    505.94x = 231,526.79
  5. Step 5: Solve for x
    x = 231,526.79/505.94
  6. Step 6: Final answer
    x = 457.62

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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.