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Finding the Fourth Proportional to 369.88, 554.46 and 232.84

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Solution

The fourth proportional to 369.88, 554.46 and 232.84 is: 349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.88 : 554.46 = 232.84 : x
  2. Step 2: Convert to fraction form
    369.88/554.46 = 232.84/x
  3. Step 3: Cross multiply
    369.88x = 554.46 × 232.84
  4. Step 4: Simplify right side
    369.88x = 129,100.47
  5. Step 5: Solve for x
    x = 129,100.47/369.88
  6. Step 6: Final answer
    x = 349.03

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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.