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Finding the Fourth Proportional to 369.84, 551.72 and 327.08

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Solution

The fourth proportional to 369.84, 551.72 and 327.08 is: 487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 551.72 = 327.08 : x
  2. Step 2: Convert to fraction form
    369.84/551.72 = 327.08/x
  3. Step 3: Cross multiply
    369.84x = 551.72 × 327.08
  4. Step 4: Simplify right side
    369.84x = 180,456.58
  5. Step 5: Solve for x
    x = 180,456.58/369.84
  6. Step 6: Final answer
    x = 487.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.