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Finding the Fourth Proportional to 506.89, 698.47 and 349.57

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Solution

The fourth proportional to 506.89, 698.47 and 349.57 is: 481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 698.47 = 349.57 : x
  2. Step 2: Convert to fraction form
    506.89/698.47 = 349.57/x
  3. Step 3: Cross multiply
    506.89x = 698.47 × 349.57
  4. Step 4: Simplify right side
    506.89x = 244,164.16
  5. Step 5: Solve for x
    x = 244,164.16/506.89
  6. Step 6: Final answer
    x = 481.69

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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.