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Finding the Fourth Proportional to 506.01, 698.56 and 341.09

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Solution

The fourth proportional to 506.01, 698.56 and 341.09 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 698.56 = 341.09 : x
  2. Step 2: Convert to fraction form
    506.01/698.56 = 341.09/x
  3. Step 3: Cross multiply
    506.01x = 698.56 × 341.09
  4. Step 4: Simplify right side
    506.01x = 238,270.12
  5. Step 5: Solve for x
    x = 238,270.12/506.01
  6. Step 6: Final answer
    x = 470.88

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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.