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Finding the Fourth Proportional to 363.76, 501.57 and 344.30

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Solution

The fourth proportional to 363.76, 501.57 and 344.30 is: 474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.76 : 501.57 = 344.30 : x
  2. Step 2: Convert to fraction form
    363.76/501.57 = 344.30/x
  3. Step 3: Cross multiply
    363.76x = 501.57 × 344.30
  4. Step 4: Simplify right side
    363.76x = 172,690.55
  5. Step 5: Solve for x
    x = 172,690.55/363.76
  6. Step 6: Final answer
    x = 474.74

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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.