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Finding the Fourth Proportional to 857.30, 1,286.57 and 370.70

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Solution

The fourth proportional to 857.30, 1,286.57 and 370.70 is: 556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.30 : 1,286.57 = 370.70 : x
  2. Step 2: Convert to fraction form
    857.30/1,286.57 = 370.70/x
  3. Step 3: Cross multiply
    857.30x = 1,286.57 × 370.70
  4. Step 4: Simplify right side
    857.30x = 476,929.65
  5. Step 5: Solve for x
    x = 476,929.65/857.30
  6. Step 6: Final answer
    x = 556.32

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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.