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Finding the Fourth Proportional to 503.23, 694.11 and 361.32

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Solution

The fourth proportional to 503.23, 694.11 and 361.32 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.23 : 694.11 = 361.32 : x
  2. Step 2: Convert to fraction form
    503.23/694.11 = 361.32/x
  3. Step 3: Cross multiply
    503.23x = 694.11 × 361.32
  4. Step 4: Simplify right side
    503.23x = 250,795.83
  5. Step 5: Solve for x
    x = 250,795.83/503.23
  6. Step 6: Final answer
    x = 498.37

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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.