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Finding the Fourth Proportional to 506.18, 698.56 and 285.14

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Solution

The fourth proportional to 506.18, 698.56 and 285.14 is: 393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.18 : 698.56 = 285.14 : x
  2. Step 2: Convert to fraction form
    506.18/698.56 = 285.14/x
  3. Step 3: Cross multiply
    506.18x = 698.56 × 285.14
  4. Step 4: Simplify right side
    506.18x = 199,187.40
  5. Step 5: Solve for x
    x = 199,187.40/506.18
  6. Step 6: Final answer
    x = 393.51

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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.