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Finding the Fourth Proportional to 506.55, 698.58 and 331.99

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Solution

The fourth proportional to 506.55, 698.58 and 331.99 is: 457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.55 : 698.58 = 331.99 : x
  2. Step 2: Convert to fraction form
    506.55/698.58 = 331.99/x
  3. Step 3: Cross multiply
    506.55x = 698.58 × 331.99
  4. Step 4: Simplify right side
    506.55x = 231,919.91
  5. Step 5: Solve for x
    x = 231,919.91/506.55
  6. Step 6: Final answer
    x = 457.84

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