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Finding the Fourth Proportional to 506.86, 699.53 and 285.82

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Solution

The fourth proportional to 506.86, 699.53 and 285.82 is: 394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 699.53 = 285.82 : x
  2. Step 2: Convert to fraction form
    506.86/699.53 = 285.82/x
  3. Step 3: Cross multiply
    506.86x = 699.53 × 285.82
  4. Step 4: Simplify right side
    506.86x = 199,936.49
  5. Step 5: Solve for x
    x = 199,936.49/506.86
  6. Step 6: Final answer
    x = 394.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.