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Finding the Fourth Proportional to 485.40, 669.56 and 298.56

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Solution

The fourth proportional to 485.40, 669.56 and 298.56 is: 411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.40 : 669.56 = 298.56 : x
  2. Step 2: Convert to fraction form
    485.40/669.56 = 298.56/x
  3. Step 3: Cross multiply
    485.40x = 669.56 × 298.56
  4. Step 4: Simplify right side
    485.40x = 199,902.34
  5. Step 5: Solve for x
    x = 199,902.34/485.40
  6. Step 6: Final answer
    x = 411.83

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Why These Related Problems?

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