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Finding the Fourth Proportional to 471.61, 707.55 and 163.54

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Solution

The fourth proportional to 471.61, 707.55 and 163.54 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.61 : 707.55 = 163.54 : x
  2. Step 2: Convert to fraction form
    471.61/707.55 = 163.54/x
  3. Step 3: Cross multiply
    471.61x = 707.55 × 163.54
  4. Step 4: Simplify right side
    471.61x = 115,712.73
  5. Step 5: Solve for x
    x = 115,712.73/471.61
  6. Step 6: Final answer
    x = 245.36

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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.