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Finding the Fourth Proportional to 503.15, 694.26 and 293.27

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Solution

The fourth proportional to 503.15, 694.26 and 293.27 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.15 : 694.26 = 293.27 : x
  2. Step 2: Convert to fraction form
    503.15/694.26 = 293.27/x
  3. Step 3: Cross multiply
    503.15x = 694.26 × 293.27
  4. Step 4: Simplify right side
    503.15x = 203,602.16
  5. Step 5: Solve for x
    x = 203,602.16/503.15
  6. Step 6: Final answer
    x = 404.66

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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.