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Finding the Fourth Proportional to 503.01, 694.08 and 281.97

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Solution

The fourth proportional to 503.01, 694.08 and 281.97 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.01 : 694.08 = 281.97 : x
  2. Step 2: Convert to fraction form
    503.01/694.08 = 281.97/x
  3. Step 3: Cross multiply
    503.01x = 694.08 × 281.97
  4. Step 4: Simplify right side
    503.01x = 195,709.74
  5. Step 5: Solve for x
    x = 195,709.74/503.01
  6. Step 6: Final answer
    x = 389.08

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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.