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Finding the Fourth Proportional to 503.50, 694.76 and 293.74

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Solution

The fourth proportional to 503.50, 694.76 and 293.74 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 694.76 = 293.74 : x
  2. Step 2: Convert to fraction form
    503.50/694.76 = 293.74/x
  3. Step 3: Cross multiply
    503.50x = 694.76 × 293.74
  4. Step 4: Simplify right side
    503.50x = 204,078.80
  5. Step 5: Solve for x
    x = 204,078.80/503.50
  6. Step 6: Final answer
    x = 405.32

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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.