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Finding the Fourth Proportional to 567.67, 849.74 and 362.40

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Solution

The fourth proportional to 567.67, 849.74 and 362.40 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.67 : 849.74 = 362.40 : x
  2. Step 2: Convert to fraction form
    567.67/849.74 = 362.40/x
  3. Step 3: Cross multiply
    567.67x = 849.74 × 362.40
  4. Step 4: Simplify right side
    567.67x = 307,943.96
  5. Step 5: Solve for x
    x = 307,943.96/567.67
  6. Step 6: Final answer
    x = 542.47

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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.