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Finding the Fourth Proportional to 567, 850.46 and 242.28

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Solution

The fourth proportional to 567, 850.46 and 242.28 is: 363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 850.46 = 242.28 : x
  2. Step 2: Convert to fraction form
    567/850.46 = 242.28/x
  3. Step 3: Cross multiply
    567x = 850.46 × 242.28
  4. Step 4: Simplify right side
    567x = 206,048.24
  5. Step 5: Solve for x
    x = 206,048.24/567
  6. Step 6: Final answer
    x = 363.40

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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.