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Finding the Fourth Proportional to 716.37, 1,073.52 and 305.28

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Solution

The fourth proportional to 716.37, 1,073.52 and 305.28 is: 457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.37 : 1,073.52 = 305.28 : x
  2. Step 2: Convert to fraction form
    716.37/1,073.52 = 305.28/x
  3. Step 3: Cross multiply
    716.37x = 1,073.52 × 305.28
  4. Step 4: Simplify right side
    716.37x = 327,724.19
  5. Step 5: Solve for x
    x = 327,724.19/716.37
  6. Step 6: Final answer
    x = 457.48

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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.