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Finding the Fourth Proportional to 485.70, 669.92 and 289.06

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Solution

The fourth proportional to 485.70, 669.92 and 289.06 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.70 : 669.92 = 289.06 : x
  2. Step 2: Convert to fraction form
    485.70/669.92 = 289.06/x
  3. Step 3: Cross multiply
    485.70x = 669.92 × 289.06
  4. Step 4: Simplify right side
    485.70x = 193,647.08
  5. Step 5: Solve for x
    x = 193,647.08/485.70
  6. Step 6: Final answer
    x = 398.70

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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.