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Finding the Fourth Proportional to 368.38, 551.50 and 286.97

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Solution

The fourth proportional to 368.38, 551.50 and 286.97 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.38 : 551.50 = 286.97 : x
  2. Step 2: Convert to fraction form
    368.38/551.50 = 286.97/x
  3. Step 3: Cross multiply
    368.38x = 551.50 × 286.97
  4. Step 4: Simplify right side
    368.38x = 158,263.58
  5. Step 5: Solve for x
    x = 158,263.58/368.38
  6. Step 6: Final answer
    x = 429.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.