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Finding the Fourth Proportional to 572.31, 857.31 and 450

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Solution

The fourth proportional to 572.31, 857.31 and 450 is: 674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.31 : 857.31 = 450 : x
  2. Step 2: Convert to fraction form
    572.31/857.31 = 450/x
  3. Step 3: Cross multiply
    572.31x = 857.31 × 450
  4. Step 4: Simplify right side
    572.31x = 385,789.50
  5. Step 5: Solve for x
    x = 385,789.50/572.31
  6. Step 6: Final answer
    x = 674.09

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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.