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Finding the Fourth Proportional to 484.96, 669.35 and 319.19

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Solution

The fourth proportional to 484.96, 669.35 and 319.19 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 669.35 = 319.19 : x
  2. Step 2: Convert to fraction form
    484.96/669.35 = 319.19/x
  3. Step 3: Cross multiply
    484.96x = 669.35 × 319.19
  4. Step 4: Simplify right side
    484.96x = 213,644.88
  5. Step 5: Solve for x
    x = 213,644.88/484.96
  6. Step 6: Final answer
    x = 440.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.