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Finding the Fourth Proportional to 502.82, 693.50 and 303.64

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Solution

The fourth proportional to 502.82, 693.50 and 303.64 is: 418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.82 : 693.50 = 303.64 : x
  2. Step 2: Convert to fraction form
    502.82/693.50 = 303.64/x
  3. Step 3: Cross multiply
    502.82x = 693.50 × 303.64
  4. Step 4: Simplify right side
    502.82x = 210,569.35
  5. Step 5: Solve for x
    x = 210,569.35/502.82
  6. Step 6: Final answer
    x = 418.78

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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.