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Finding the Fourth Proportional to 716.97, 1,074.65 and 306.03

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Solution

The fourth proportional to 716.97, 1,074.65 and 306.03 is: 458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.97 : 1,074.65 = 306.03 : x
  2. Step 2: Convert to fraction form
    716.97/1,074.65 = 306.03/x
  3. Step 3: Cross multiply
    716.97x = 1,074.65 × 306.03
  4. Step 4: Simplify right side
    716.97x = 328,873.61
  5. Step 5: Solve for x
    x = 328,873.61/716.97
  6. Step 6: Final answer
    x = 458.70

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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.