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Finding the Fourth Proportional to 567.48, 850.23 and 404.31

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Solution

The fourth proportional to 567.48, 850.23 and 404.31 is: 605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.48 : 850.23 = 404.31 : x
  2. Step 2: Convert to fraction form
    567.48/850.23 = 404.31/x
  3. Step 3: Cross multiply
    567.48x = 850.23 × 404.31
  4. Step 4: Simplify right side
    567.48x = 343,756.49
  5. Step 5: Solve for x
    x = 343,756.49/567.48
  6. Step 6: Final answer
    x = 605.76

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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.