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Finding the Fourth Proportional to 485.12, 669.47 and 275.23

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Solution

The fourth proportional to 485.12, 669.47 and 275.23 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.12 : 669.47 = 275.23 : x
  2. Step 2: Convert to fraction form
    485.12/669.47 = 275.23/x
  3. Step 3: Cross multiply
    485.12x = 669.47 × 275.23
  4. Step 4: Simplify right side
    485.12x = 184,257.69
  5. Step 5: Solve for x
    x = 184,257.69/485.12
  6. Step 6: Final answer
    x = 379.82

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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.