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Finding the Fourth Proportional to 506.53, 699.04 and 285.50

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Solution

The fourth proportional to 506.53, 699.04 and 285.50 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.53 : 699.04 = 285.50 : x
  2. Step 2: Convert to fraction form
    506.53/699.04 = 285.50/x
  3. Step 3: Cross multiply
    506.53x = 699.04 × 285.50
  4. Step 4: Simplify right side
    506.53x = 199,575.92
  5. Step 5: Solve for x
    x = 199,575.92/506.53
  6. Step 6: Final answer
    x = 394.01

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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.