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Finding the Fourth Proportional to 506.52, 699.17 and 341.21

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Solution

The fourth proportional to 506.52, 699.17 and 341.21 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 699.17 = 341.21 : x
  2. Step 2: Convert to fraction form
    506.52/699.17 = 341.21/x
  3. Step 3: Cross multiply
    506.52x = 699.17 × 341.21
  4. Step 4: Simplify right side
    506.52x = 238,563.84
  5. Step 5: Solve for x
    x = 238,563.84/506.52
  6. Step 6: Final answer
    x = 470.99

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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.