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Finding the Fourth Proportional to 485.36, 669.62 and 298.92

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Solution

The fourth proportional to 485.36, 669.62 and 298.92 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.36 : 669.62 = 298.92 : x
  2. Step 2: Convert to fraction form
    485.36/669.62 = 298.92/x
  3. Step 3: Cross multiply
    485.36x = 669.62 × 298.92
  4. Step 4: Simplify right side
    485.36x = 200,162.81
  5. Step 5: Solve for x
    x = 200,162.81/485.36
  6. Step 6: Final answer
    x = 412.40

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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.