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Finding the Fourth Proportional to 858.67, 1,286.28 and 395.80

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Solution

The fourth proportional to 858.67, 1,286.28 and 395.80 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.67 : 1,286.28 = 395.80 : x
  2. Step 2: Convert to fraction form
    858.67/1,286.28 = 395.80/x
  3. Step 3: Cross multiply
    858.67x = 1,286.28 × 395.80
  4. Step 4: Simplify right side
    858.67x = 509,113.64
  5. Step 5: Solve for x
    x = 509,113.64/858.67
  6. Step 6: Final answer
    x = 592.91

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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.