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Finding the Fourth Proportional to 716.29, 1,073.62 and 305.17

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Solution

The fourth proportional to 716.29, 1,073.62 and 305.17 is: 457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.29 : 1,073.62 = 305.17 : x
  2. Step 2: Convert to fraction form
    716.29/1,073.62 = 305.17/x
  3. Step 3: Cross multiply
    716.29x = 1,073.62 × 305.17
  4. Step 4: Simplify right side
    716.29x = 327,636.62
  5. Step 5: Solve for x
    x = 327,636.62/716.29
  6. Step 6: Final answer
    x = 457.41

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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.