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Finding the Fourth Proportional to 948.09, 1,421.83 and 331.78

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Solution

The fourth proportional to 948.09, 1,421.83 and 331.78 is: 497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.09 : 1,421.83 = 331.78 : x
  2. Step 2: Convert to fraction form
    948.09/1,421.83 = 331.78/x
  3. Step 3: Cross multiply
    948.09x = 1,421.83 × 331.78
  4. Step 4: Simplify right side
    948.09x = 471,734.76
  5. Step 5: Solve for x
    x = 471,734.76/948.09
  6. Step 6: Final answer
    x = 497.56

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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.