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Finding the Fourth Proportional to 484.98, 669.09 and 319.29

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Solution

The fourth proportional to 484.98, 669.09 and 319.29 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.98 : 669.09 = 319.29 : x
  2. Step 2: Convert to fraction form
    484.98/669.09 = 319.29/x
  3. Step 3: Cross multiply
    484.98x = 669.09 × 319.29
  4. Step 4: Simplify right side
    484.98x = 213,633.75
  5. Step 5: Solve for x
    x = 213,633.75/484.98
  6. Step 6: Final answer
    x = 440.50

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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.