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Finding the Fourth Proportional to 567.33, 850.24 and 307.38

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Solution

The fourth proportional to 567.33, 850.24 and 307.38 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.33 : 850.24 = 307.38 : x
  2. Step 2: Convert to fraction form
    567.33/850.24 = 307.38/x
  3. Step 3: Cross multiply
    567.33x = 850.24 × 307.38
  4. Step 4: Simplify right side
    567.33x = 261,346.77
  5. Step 5: Solve for x
    x = 261,346.77/567.33
  6. Step 6: Final answer
    x = 460.66

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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.