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Finding the Fourth Proportional to 567.87, 852.06 and 275.21

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Solution

The fourth proportional to 567.87, 852.06 and 275.21 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 852.06 = 275.21 : x
  2. Step 2: Convert to fraction form
    567.87/852.06 = 275.21/x
  3. Step 3: Cross multiply
    567.87x = 852.06 × 275.21
  4. Step 4: Simplify right side
    567.87x = 234,489.80
  5. Step 5: Solve for x
    x = 234,489.80/567.87
  6. Step 6: Final answer
    x = 412.93

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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.