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Finding the Fourth Proportional to 502.64, 693.90 and 355.64

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Solution

The fourth proportional to 502.64, 693.90 and 355.64 is: 490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 693.90 = 355.64 : x
  2. Step 2: Convert to fraction form
    502.64/693.90 = 355.64/x
  3. Step 3: Cross multiply
    502.64x = 693.90 × 355.64
  4. Step 4: Simplify right side
    502.64x = 246,778.60
  5. Step 5: Solve for x
    x = 246,778.60/502.64
  6. Step 6: Final answer
    x = 490.96

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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.