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Finding the Fourth Proportional to 567.31, 850.47 and 457.43

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Solution

The fourth proportional to 567.31, 850.47 and 457.43 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.31 : 850.47 = 457.43 : x
  2. Step 2: Convert to fraction form
    567.31/850.47 = 457.43/x
  3. Step 3: Cross multiply
    567.31x = 850.47 × 457.43
  4. Step 4: Simplify right side
    567.31x = 389,025.72
  5. Step 5: Solve for x
    x = 389,025.72/567.31
  6. Step 6: Final answer
    x = 685.74

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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.