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Finding the Fourth Proportional to 716.40, 1,073.69 and 305.43

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Solution

The fourth proportional to 716.40, 1,073.69 and 305.43 is: 457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.40 : 1,073.69 = 305.43 : x
  2. Step 2: Convert to fraction form
    716.40/1,073.69 = 305.43/x
  3. Step 3: Cross multiply
    716.40x = 1,073.69 × 305.43
  4. Step 4: Simplify right side
    716.40x = 327,937.14
  5. Step 5: Solve for x
    x = 327,937.14/716.40
  6. Step 6: Final answer
    x = 457.76

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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.