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Finding the Fourth Proportional to 567.88, 852.22 and 324.20

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Solution

The fourth proportional to 567.88, 852.22 and 324.20 is: 486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 852.22 = 324.20 : x
  2. Step 2: Convert to fraction form
    567.88/852.22 = 324.20/x
  3. Step 3: Cross multiply
    567.88x = 852.22 × 324.20
  4. Step 4: Simplify right side
    567.88x = 276,289.72
  5. Step 5: Solve for x
    x = 276,289.72/567.88
  6. Step 6: Final answer
    x = 486.53

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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.