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Finding the Fourth Proportional to 369.15, 553.68 and 231.78

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Solution

The fourth proportional to 369.15, 553.68 and 231.78 is: 347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.15 : 553.68 = 231.78 : x
  2. Step 2: Convert to fraction form
    369.15/553.68 = 231.78/x
  3. Step 3: Cross multiply
    369.15x = 553.68 × 231.78
  4. Step 4: Simplify right side
    369.15x = 128,332.82
  5. Step 5: Solve for x
    x = 128,332.82/369.15
  6. Step 6: Final answer
    x = 347.64

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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.