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Finding the Fourth Proportional to 567.78, 849.85 and 402.85

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Solution

The fourth proportional to 567.78, 849.85 and 402.85 is: 602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 849.85 = 402.85 : x
  2. Step 2: Convert to fraction form
    567.78/849.85 = 402.85/x
  3. Step 3: Cross multiply
    567.78x = 849.85 × 402.85
  4. Step 4: Simplify right side
    567.78x = 342,362.57
  5. Step 5: Solve for x
    x = 342,362.57/567.78
  6. Step 6: Final answer
    x = 602.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.