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Finding the Fourth Proportional to 567.41, 851.31 and 475.07

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Solution

The fourth proportional to 567.41, 851.31 and 475.07 is: 712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.41 : 851.31 = 475.07 : x
  2. Step 2: Convert to fraction form
    567.41/851.31 = 475.07/x
  3. Step 3: Cross multiply
    567.41x = 851.31 × 475.07
  4. Step 4: Simplify right side
    567.41x = 404,427.59
  5. Step 5: Solve for x
    x = 404,427.59/567.41
  6. Step 6: Final answer
    x = 712.77

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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.