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Finding the Fourth Proportional to 567.98, 851.87 and 243.26

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Solution

The fourth proportional to 567.98, 851.87 and 243.26 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.98 : 851.87 = 243.26 : x
  2. Step 2: Convert to fraction form
    567.98/851.87 = 243.26/x
  3. Step 3: Cross multiply
    567.98x = 851.87 × 243.26
  4. Step 4: Simplify right side
    567.98x = 207,225.90
  5. Step 5: Solve for x
    x = 207,225.90/567.98
  6. Step 6: Final answer
    x = 364.85

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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.