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Finding the Fourth Proportional to 843.84, 1,266.30 and 357.17

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Solution

The fourth proportional to 843.84, 1,266.30 and 357.17 is: 535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,266.30 = 357.17 : x
  2. Step 2: Convert to fraction form
    843.84/1,266.30 = 357.17/x
  3. Step 3: Cross multiply
    843.84x = 1,266.30 × 357.17
  4. Step 4: Simplify right side
    843.84x = 452,278.04
  5. Step 5: Solve for x
    x = 452,278.04/843.84
  6. Step 6: Final answer
    x = 535.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.