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Finding the Fourth Proportional to 500.31, 689.78 and 334.40

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Solution

The fourth proportional to 500.31, 689.78 and 334.40 is: 461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.31 : 689.78 = 334.40 : x
  2. Step 2: Convert to fraction form
    500.31/689.78 = 334.40/x
  3. Step 3: Cross multiply
    500.31x = 689.78 × 334.40
  4. Step 4: Simplify right side
    500.31x = 230,659.82
  5. Step 5: Solve for x
    x = 230,659.82/500.31
  6. Step 6: Final answer
    x = 461.03

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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.