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Finding the Fourth Proportional to 485.18, 669.47 and 286.02

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Solution

The fourth proportional to 485.18, 669.47 and 286.02 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.18 : 669.47 = 286.02 : x
  2. Step 2: Convert to fraction form
    485.18/669.47 = 286.02/x
  3. Step 3: Cross multiply
    485.18x = 669.47 × 286.02
  4. Step 4: Simplify right side
    485.18x = 191,480.38
  5. Step 5: Solve for x
    x = 191,480.38/485.18
  6. Step 6: Final answer
    x = 394.66

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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.