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Finding the Fourth Proportional to 485.14, 669.63 and 298.89

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Solution

The fourth proportional to 485.14, 669.63 and 298.89 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.14 : 669.63 = 298.89 : x
  2. Step 2: Convert to fraction form
    485.14/669.63 = 298.89/x
  3. Step 3: Cross multiply
    485.14x = 669.63 × 298.89
  4. Step 4: Simplify right side
    485.14x = 200,149.34
  5. Step 5: Solve for x
    x = 200,149.34/485.14
  6. Step 6: Final answer
    x = 412.56

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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.