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Finding the Fourth Proportional to 349.04, 480.60 and 286.64

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Solution

The fourth proportional to 349.04, 480.60 and 286.64 is: 394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.04 : 480.60 = 286.64 : x
  2. Step 2: Convert to fraction form
    349.04/480.60 = 286.64/x
  3. Step 3: Cross multiply
    349.04x = 480.60 × 286.64
  4. Step 4: Simplify right side
    349.04x = 137,759.18
  5. Step 5: Solve for x
    x = 137,759.18/349.04
  6. Step 6: Final answer
    x = 394.68

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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.