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Finding the Fourth Proportional to 567.66, 851.37 and 385.14

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Solution

The fourth proportional to 567.66, 851.37 and 385.14 is: 577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.66 : 851.37 = 385.14 : x
  2. Step 2: Convert to fraction form
    567.66/851.37 = 385.14/x
  3. Step 3: Cross multiply
    567.66x = 851.37 × 385.14
  4. Step 4: Simplify right side
    567.66x = 327,896.64
  5. Step 5: Solve for x
    x = 327,896.64/567.66
  6. Step 6: Final answer
    x = 577.63

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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.