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Finding the Fourth Proportional to 567.47, 850.94 and 259.23

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Solution

The fourth proportional to 567.47, 850.94 and 259.23 is: 388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.47 : 850.94 = 259.23 : x
  2. Step 2: Convert to fraction form
    567.47/850.94 = 259.23/x
  3. Step 3: Cross multiply
    567.47x = 850.94 × 259.23
  4. Step 4: Simplify right side
    567.47x = 220,592.04
  5. Step 5: Solve for x
    x = 220,592.04/567.47
  6. Step 6: Final answer
    x = 388.73

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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.