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Finding the Fourth Proportional to 567.92, 852.34 and 294.09

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Solution

The fourth proportional to 567.92, 852.34 and 294.09 is: 441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 852.34 = 294.09 : x
  2. Step 2: Convert to fraction form
    567.92/852.34 = 294.09/x
  3. Step 3: Cross multiply
    567.92x = 852.34 × 294.09
  4. Step 4: Simplify right side
    567.92x = 250,663.94
  5. Step 5: Solve for x
    x = 250,663.94/567.92
  6. Step 6: Final answer
    x = 441.38

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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.