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Finding the Fourth Proportional to 485.30, 669.68 and 286.14

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Solution

The fourth proportional to 485.30, 669.68 and 286.14 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.30 : 669.68 = 286.14 : x
  2. Step 2: Convert to fraction form
    485.30/669.68 = 286.14/x
  3. Step 3: Cross multiply
    485.30x = 669.68 × 286.14
  4. Step 4: Simplify right side
    485.30x = 191,622.24
  5. Step 5: Solve for x
    x = 191,622.24/485.30
  6. Step 6: Final answer
    x = 394.85

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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.