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Finding the Fourth Proportional to 503.46, 694.41 and 364.05

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Solution

The fourth proportional to 503.46, 694.41 and 364.05 is: 502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.46 : 694.41 = 364.05 : x
  2. Step 2: Convert to fraction form
    503.46/694.41 = 364.05/x
  3. Step 3: Cross multiply
    503.46x = 694.41 × 364.05
  4. Step 4: Simplify right side
    503.46x = 252,799.96
  5. Step 5: Solve for x
    x = 252,799.96/503.46
  6. Step 6: Final answer
    x = 502.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.