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Finding the Fourth Proportional to 369.42, 554.58 and 232.74

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Solution

The fourth proportional to 369.42, 554.58 and 232.74 is: 349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 554.58 = 232.74 : x
  2. Step 2: Convert to fraction form
    369.42/554.58 = 232.74/x
  3. Step 3: Cross multiply
    369.42x = 554.58 × 232.74
  4. Step 4: Simplify right side
    369.42x = 129,072.95
  5. Step 5: Solve for x
    x = 129,072.95/369.42
  6. Step 6: Final answer
    x = 349.39

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