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Finding the Fourth Proportional to 567.34, 850.14 and 361.42

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Solution

The fourth proportional to 567.34, 850.14 and 361.42 is: 541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 850.14 = 361.42 : x
  2. Step 2: Convert to fraction form
    567.34/850.14 = 361.42/x
  3. Step 3: Cross multiply
    567.34x = 850.14 × 361.42
  4. Step 4: Simplify right side
    567.34x = 307,257.60
  5. Step 5: Solve for x
    x = 307,257.60/567.34
  6. Step 6: Final answer
    x = 541.58

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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.