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Finding the Fourth Proportional to 567.24, 849.38 and 393.39

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Solution

The fourth proportional to 567.24, 849.38 and 393.39 is: 589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 849.38 = 393.39 : x
  2. Step 2: Convert to fraction form
    567.24/849.38 = 393.39/x
  3. Step 3: Cross multiply
    567.24x = 849.38 × 393.39
  4. Step 4: Simplify right side
    567.24x = 334,135.63
  5. Step 5: Solve for x
    x = 334,135.63/567.24
  6. Step 6: Final answer
    x = 589.06

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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.