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Finding the Fourth Proportional to 716.72, 1,074.56 and 305.44

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Solution

The fourth proportional to 716.72, 1,074.56 and 305.44 is: 457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.72 : 1,074.56 = 305.44 : x
  2. Step 2: Convert to fraction form
    716.72/1,074.56 = 305.44/x
  3. Step 3: Cross multiply
    716.72x = 1,074.56 × 305.44
  4. Step 4: Simplify right side
    716.72x = 328,213.61
  5. Step 5: Solve for x
    x = 328,213.61/716.72
  6. Step 6: Final answer
    x = 457.94

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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.