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Finding the Fourth Proportional to 567.60, 850.66 and 238.17

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Solution

The fourth proportional to 567.60, 850.66 and 238.17 is: 356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 850.66 = 238.17 : x
  2. Step 2: Convert to fraction form
    567.60/850.66 = 238.17/x
  3. Step 3: Cross multiply
    567.60x = 850.66 × 238.17
  4. Step 4: Simplify right side
    567.60x = 202,601.69
  5. Step 5: Solve for x
    x = 202,601.69/567.60
  6. Step 6: Final answer
    x = 356.94

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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.