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Finding the Fourth Proportional to 857.34, 1,286.01 and 280.26

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Solution

The fourth proportional to 857.34, 1,286.01 and 280.26 is: 420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.34 : 1,286.01 = 280.26 : x
  2. Step 2: Convert to fraction form
    857.34/1,286.01 = 280.26/x
  3. Step 3: Cross multiply
    857.34x = 1,286.01 × 280.26
  4. Step 4: Simplify right side
    857.34x = 360,417.16
  5. Step 5: Solve for x
    x = 360,417.16/857.34
  6. Step 6: Final answer
    x = 420.39

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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.