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Finding the Fourth Proportional to 503.69, 694.08 and 361.53

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Solution

The fourth proportional to 503.69, 694.08 and 361.53 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.69 : 694.08 = 361.53 : x
  2. Step 2: Convert to fraction form
    503.69/694.08 = 361.53/x
  3. Step 3: Cross multiply
    503.69x = 694.08 × 361.53
  4. Step 4: Simplify right side
    503.69x = 250,930.74
  5. Step 5: Solve for x
    x = 250,930.74/503.69
  6. Step 6: Final answer
    x = 498.19

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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.