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Finding the Fourth Proportional to 505.59, 698.02 and 331.24

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Solution

The fourth proportional to 505.59, 698.02 and 331.24 is: 457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.59 : 698.02 = 331.24 : x
  2. Step 2: Convert to fraction form
    505.59/698.02 = 331.24/x
  3. Step 3: Cross multiply
    505.59x = 698.02 × 331.24
  4. Step 4: Simplify right side
    505.59x = 231,214.05
  5. Step 5: Solve for x
    x = 231,214.05/505.59
  6. Step 6: Final answer
    x = 457.31

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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.