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Finding the Fourth Proportional to 716.45, 1,073.48 and 253.96

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Solution

The fourth proportional to 716.45, 1,073.48 and 253.96 is: 380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.45 : 1,073.48 = 253.96 : x
  2. Step 2: Convert to fraction form
    716.45/1,073.48 = 253.96/x
  3. Step 3: Cross multiply
    716.45x = 1,073.48 × 253.96
  4. Step 4: Simplify right side
    716.45x = 272,617.03
  5. Step 5: Solve for x
    x = 272,617.03/716.45
  6. Step 6: Final answer
    x = 380.51

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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.