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Finding the Fourth Proportional to 716.11, 1,074.16 and 253.64

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Solution

The fourth proportional to 716.11, 1,074.16 and 253.64 is: 380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.11 : 1,074.16 = 253.64 : x
  2. Step 2: Convert to fraction form
    716.11/1,074.16 = 253.64/x
  3. Step 3: Cross multiply
    716.11x = 1,074.16 × 253.64
  4. Step 4: Simplify right side
    716.11x = 272,449.94
  5. Step 5: Solve for x
    x = 272,449.94/716.11
  6. Step 6: Final answer
    x = 380.46

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Why These Related Problems?

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