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Finding the Fourth Proportional to 485.04, 669.30 and 298.64

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Solution

The fourth proportional to 485.04, 669.30 and 298.64 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.04 : 669.30 = 298.64 : x
  2. Step 2: Convert to fraction form
    485.04/669.30 = 298.64/x
  3. Step 3: Cross multiply
    485.04x = 669.30 × 298.64
  4. Step 4: Simplify right side
    485.04x = 199,879.75
  5. Step 5: Solve for x
    x = 199,879.75/485.04
  6. Step 6: Final answer
    x = 412.09

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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.