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Finding the Fourth Proportional to 500.49, 690.17 and 334.40

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Solution

The fourth proportional to 500.49, 690.17 and 334.40 is: 461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.49 : 690.17 = 334.40 : x
  2. Step 2: Convert to fraction form
    500.49/690.17 = 334.40/x
  3. Step 3: Cross multiply
    500.49x = 690.17 × 334.40
  4. Step 4: Simplify right side
    500.49x = 230,787.73
  5. Step 5: Solve for x
    x = 230,787.73/500.49
  6. Step 6: Final answer
    x = 461.12

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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.