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Finding the Fourth Proportional to 485.92, 669.90 and 411.94

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Solution

The fourth proportional to 485.92, 669.90 and 411.94 is: 567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.92 : 669.90 = 411.94 : x
  2. Step 2: Convert to fraction form
    485.92/669.90 = 411.94/x
  3. Step 3: Cross multiply
    485.92x = 669.90 × 411.94
  4. Step 4: Simplify right side
    485.92x = 275,958.61
  5. Step 5: Solve for x
    x = 275,958.61/485.92
  6. Step 6: Final answer
    x = 567.91

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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.