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Finding the Fourth Proportional to 503.59, 694.89 and 293.80

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Solution

The fourth proportional to 503.59, 694.89 and 293.80 is: 405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.59 : 694.89 = 293.80 : x
  2. Step 2: Convert to fraction form
    503.59/694.89 = 293.80/x
  3. Step 3: Cross multiply
    503.59x = 694.89 × 293.80
  4. Step 4: Simplify right side
    503.59x = 204,158.68
  5. Step 5: Solve for x
    x = 204,158.68/503.59
  6. Step 6: Final answer
    x = 405.41

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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.