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Finding the Fourth Proportional to 503.42, 694.37 and 462.11

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Solution

The fourth proportional to 503.42, 694.37 and 462.11 is: 637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 694.37 = 462.11 : x
  2. Step 2: Convert to fraction form
    503.42/694.37 = 462.11/x
  3. Step 3: Cross multiply
    503.42x = 694.37 × 462.11
  4. Step 4: Simplify right side
    503.42x = 320,869.54
  5. Step 5: Solve for x
    x = 320,869.54/503.42
  6. Step 6: Final answer
    x = 637.39

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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.