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Finding the Fourth Proportional to 857.26, 1,285.62 and 280

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Solution

The fourth proportional to 857.26, 1,285.62 and 280 is: 419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.26 : 1,285.62 = 280 : x
  2. Step 2: Convert to fraction form
    857.26/1,285.62 = 280/x
  3. Step 3: Cross multiply
    857.26x = 1,285.62 × 280
  4. Step 4: Simplify right side
    857.26x = 359,973.60
  5. Step 5: Solve for x
    x = 359,973.60/857.26
  6. Step 6: Final answer
    x = 419.91

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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.