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Finding the Fourth Proportional to 485.33, 669.70 and 286.16

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Solution

The fourth proportional to 485.33, 669.70 and 286.16 is: 394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.33 : 669.70 = 286.16 : x
  2. Step 2: Convert to fraction form
    485.33/669.70 = 286.16/x
  3. Step 3: Cross multiply
    485.33x = 669.70 × 286.16
  4. Step 4: Simplify right side
    485.33x = 191,642.13
  5. Step 5: Solve for x
    x = 191,642.13/485.33
  6. Step 6: Final answer
    x = 394.87

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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.