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Finding the Fourth Proportional to 506.51, 698.91 and 285.41

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Solution

The fourth proportional to 506.51, 698.91 and 285.41 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.51 : 698.91 = 285.41 : x
  2. Step 2: Convert to fraction form
    506.51/698.91 = 285.41/x
  3. Step 3: Cross multiply
    506.51x = 698.91 × 285.41
  4. Step 4: Simplify right side
    506.51x = 199,472.41
  5. Step 5: Solve for x
    x = 199,472.41/506.51
  6. Step 6: Final answer
    x = 393.82

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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.