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Finding the Fourth Proportional to 503.08, 694.20 and 337.48

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Solution

The fourth proportional to 503.08, 694.20 and 337.48 is: 465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 694.20 = 337.48 : x
  2. Step 2: Convert to fraction form
    503.08/694.20 = 337.48/x
  3. Step 3: Cross multiply
    503.08x = 694.20 × 337.48
  4. Step 4: Simplify right side
    503.08x = 234,278.62
  5. Step 5: Solve for x
    x = 234,278.62/503.08
  6. Step 6: Final answer
    x = 465.69

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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.