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Finding the Fourth Proportional to 716.20, 1,073.56 and 305.12

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Solution

The fourth proportional to 716.20, 1,073.56 and 305.12 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.20 : 1,073.56 = 305.12 : x
  2. Step 2: Convert to fraction form
    716.20/1,073.56 = 305.12/x
  3. Step 3: Cross multiply
    716.20x = 1,073.56 × 305.12
  4. Step 4: Simplify right side
    716.20x = 327,563.10
  5. Step 5: Solve for x
    x = 327,563.10/716.20
  6. Step 6: Final answer
    x = 457.37

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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.