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Finding the Fourth Proportional to 503.02, 694.16 and 281.97

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Solution

The fourth proportional to 503.02, 694.16 and 281.97 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.02 : 694.16 = 281.97 : x
  2. Step 2: Convert to fraction form
    503.02/694.16 = 281.97/x
  3. Step 3: Cross multiply
    503.02x = 694.16 × 281.97
  4. Step 4: Simplify right side
    503.02x = 195,732.30
  5. Step 5: Solve for x
    x = 195,732.30/503.02
  6. Step 6: Final answer
    x = 389.11

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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.