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Finding the Fourth Proportional to 506.51, 698.94 and 285.46

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Solution

The fourth proportional to 506.51, 698.94 and 285.46 is: 393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.51 : 698.94 = 285.46 : x
  2. Step 2: Convert to fraction form
    506.51/698.94 = 285.46/x
  3. Step 3: Cross multiply
    506.51x = 698.94 × 285.46
  4. Step 4: Simplify right side
    506.51x = 199,519.22
  5. Step 5: Solve for x
    x = 199,519.22/506.51
  6. Step 6: Final answer
    x = 393.91

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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.