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Finding the Fourth Proportional to 857.69, 1,286.69 and 364.40

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Solution

The fourth proportional to 857.69, 1,286.69 and 364.40 is: 546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.69 : 1,286.69 = 364.40 : x
  2. Step 2: Convert to fraction form
    857.69/1,286.69 = 364.40/x
  3. Step 3: Cross multiply
    857.69x = 1,286.69 × 364.40
  4. Step 4: Simplify right side
    857.69x = 468,861.58
  5. Step 5: Solve for x
    x = 468,861.58/857.69
  6. Step 6: Final answer
    x = 546.66

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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.