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Finding the Fourth Proportional to 572.52, 857.39 and 517.05

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Solution

The fourth proportional to 572.52, 857.39 and 517.05 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 857.39 = 517.05 : x
  2. Step 2: Convert to fraction form
    572.52/857.39 = 517.05/x
  3. Step 3: Cross multiply
    572.52x = 857.39 × 517.05
  4. Step 4: Simplify right side
    572.52x = 443,314.53
  5. Step 5: Solve for x
    x = 443,314.53/572.52
  6. Step 6: Final answer
    x = 774.32

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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.