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Finding the Fourth Proportional to 503.58, 694.94 and 293.70

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Solution

The fourth proportional to 503.58, 694.94 and 293.70 is: 405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.58 : 694.94 = 293.70 : x
  2. Step 2: Convert to fraction form
    503.58/694.94 = 293.70/x
  3. Step 3: Cross multiply
    503.58x = 694.94 × 293.70
  4. Step 4: Simplify right side
    503.58x = 204,102.41
  5. Step 5: Solve for x
    x = 204,102.41/503.58
  6. Step 6: Final answer
    x = 405.30

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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.