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Finding the Fourth Proportional to 566.96, 850.26 and 361.76

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Solution

The fourth proportional to 566.96, 850.26 and 361.76 is: 542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 850.26 = 361.76 : x
  2. Step 2: Convert to fraction form
    566.96/850.26 = 361.76/x
  3. Step 3: Cross multiply
    566.96x = 850.26 × 361.76
  4. Step 4: Simplify right side
    566.96x = 307,590.06
  5. Step 5: Solve for x
    x = 307,590.06/566.96
  6. Step 6: Final answer
    x = 542.53

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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.