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Finding the Fourth Proportional to 506.73, 699.12 and 441.12

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Solution

The fourth proportional to 506.73, 699.12 and 441.12 is: 608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 699.12 = 441.12 : x
  2. Step 2: Convert to fraction form
    506.73/699.12 = 441.12/x
  3. Step 3: Cross multiply
    506.73x = 699.12 × 441.12
  4. Step 4: Simplify right side
    506.73x = 308,395.81
  5. Step 5: Solve for x
    x = 308,395.81/506.73
  6. Step 6: Final answer
    x = 608.60

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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.