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Finding the Fourth Proportional to 567.76, 850.56 and 506.23

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Solution

The fourth proportional to 567.76, 850.56 and 506.23 is: 758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.76 : 850.56 = 506.23 : x
  2. Step 2: Convert to fraction form
    567.76/850.56 = 506.23/x
  3. Step 3: Cross multiply
    567.76x = 850.56 × 506.23
  4. Step 4: Simplify right side
    567.76x = 430,578.99
  5. Step 5: Solve for x
    x = 430,578.99/567.76
  6. Step 6: Final answer
    x = 758.38

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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.