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Finding the Fourth Proportional to 496.29, 744.32 and 320.06

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Solution

The fourth proportional to 496.29, 744.32 and 320.06 is: 480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.29 : 744.32 = 320.06 : x
  2. Step 2: Convert to fraction form
    496.29/744.32 = 320.06/x
  3. Step 3: Cross multiply
    496.29x = 744.32 × 320.06
  4. Step 4: Simplify right side
    496.29x = 238,221.74
  5. Step 5: Solve for x
    x = 238,221.74/496.29
  6. Step 6: Final answer
    x = 480.01

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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.