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Finding the Fourth Proportional to 503.30, 694.41 and 337.46

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Solution

The fourth proportional to 503.30, 694.41 and 337.46 is: 465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 694.41 = 337.46 : x
  2. Step 2: Convert to fraction form
    503.30/694.41 = 337.46/x
  3. Step 3: Cross multiply
    503.30x = 694.41 × 337.46
  4. Step 4: Simplify right side
    503.30x = 234,335.60
  5. Step 5: Solve for x
    x = 234,335.60/503.30
  6. Step 6: Final answer
    x = 465.60

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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.