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Finding the Fourth Proportional to 567.43, 850.93 and 202.12

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Solution

The fourth proportional to 567.43, 850.93 and 202.12 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.43 : 850.93 = 202.12 : x
  2. Step 2: Convert to fraction form
    567.43/850.93 = 202.12/x
  3. Step 3: Cross multiply
    567.43x = 850.93 × 202.12
  4. Step 4: Simplify right side
    567.43x = 171,989.97
  5. Step 5: Solve for x
    x = 171,989.97/567.43
  6. Step 6: Final answer
    x = 303.10

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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.