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Finding the Fourth Proportional to 572.54, 789.60 and 506.21

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Solution

The fourth proportional to 572.54, 789.60 and 506.21 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.54 : 789.60 = 506.21 : x
  2. Step 2: Convert to fraction form
    572.54/789.60 = 506.21/x
  3. Step 3: Cross multiply
    572.54x = 789.60 × 506.21
  4. Step 4: Simplify right side
    572.54x = 399,703.42
  5. Step 5: Solve for x
    x = 399,703.42/572.54
  6. Step 6: Final answer
    x = 698.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.