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Finding the Fourth Proportional to 496.30, 744.24 and 265.14

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Solution

The fourth proportional to 496.30, 744.24 and 265.14 is: 397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.30 : 744.24 = 265.14 : x
  2. Step 2: Convert to fraction form
    496.30/744.24 = 265.14/x
  3. Step 3: Cross multiply
    496.30x = 744.24 × 265.14
  4. Step 4: Simplify right side
    496.30x = 197,327.79
  5. Step 5: Solve for x
    x = 197,327.79/496.30
  6. Step 6: Final answer
    x = 397.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.