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Finding the Fourth Proportional to 503.57, 694.91 and 337.76

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Solution

The fourth proportional to 503.57, 694.91 and 337.76 is: 466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.57 : 694.91 = 337.76 : x
  2. Step 2: Convert to fraction form
    503.57/694.91 = 337.76/x
  3. Step 3: Cross multiply
    503.57x = 694.91 × 337.76
  4. Step 4: Simplify right side
    503.57x = 234,707.64
  5. Step 5: Solve for x
    x = 234,707.64/503.57
  6. Step 6: Final answer
    x = 466.09

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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.