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Finding the Fourth Proportional to 503.08, 694.20 and 433.24

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Solution

The fourth proportional to 503.08, 694.20 and 433.24 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 694.20 = 433.24 : x
  2. Step 2: Convert to fraction form
    503.08/694.20 = 433.24/x
  3. Step 3: Cross multiply
    503.08x = 694.20 × 433.24
  4. Step 4: Simplify right side
    503.08x = 300,755.21
  5. Step 5: Solve for x
    x = 300,755.21/503.08
  6. Step 6: Final answer
    x = 597.83

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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.