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Finding the Fourth Proportional to 349.73, 524.49 and 228.64

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Solution

The fourth proportional to 349.73, 524.49 and 228.64 is: 342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.73 : 524.49 = 228.64 : x
  2. Step 2: Convert to fraction form
    349.73/524.49 = 228.64/x
  3. Step 3: Cross multiply
    349.73x = 524.49 × 228.64
  4. Step 4: Simplify right side
    349.73x = 119,918.08
  5. Step 5: Solve for x
    x = 119,918.08/349.73
  6. Step 6: Final answer
    x = 342.89

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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.