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Finding the Fourth Proportional to 506.57, 699.09 and 285.53

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Solution

The fourth proportional to 506.57, 699.09 and 285.53 is: 394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 699.09 = 285.53 : x
  2. Step 2: Convert to fraction form
    506.57/699.09 = 285.53/x
  3. Step 3: Cross multiply
    506.57x = 699.09 × 285.53
  4. Step 4: Simplify right side
    506.57x = 199,607.67
  5. Step 5: Solve for x
    x = 199,607.67/506.57
  6. Step 6: Final answer
    x = 394.04

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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.