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Finding the Fourth Proportional to 503.60, 694.83 and 293.66

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Solution

The fourth proportional to 503.60, 694.83 and 293.66 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.60 : 694.83 = 293.66 : x
  2. Step 2: Convert to fraction form
    503.60/694.83 = 293.66/x
  3. Step 3: Cross multiply
    503.60x = 694.83 × 293.66
  4. Step 4: Simplify right side
    503.60x = 204,043.78
  5. Step 5: Solve for x
    x = 204,043.78/503.60
  6. Step 6: Final answer
    x = 405.17

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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.