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Finding the Fourth Proportional to 336.90, 505.76 and 228.36

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Solution

The fourth proportional to 336.90, 505.76 and 228.36 is: 342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.90 : 505.76 = 228.36 : x
  2. Step 2: Convert to fraction form
    336.90/505.76 = 228.36/x
  3. Step 3: Cross multiply
    336.90x = 505.76 × 228.36
  4. Step 4: Simplify right side
    336.90x = 115,494.21
  5. Step 5: Solve for x
    x = 115,494.21/336.90
  6. Step 6: Final answer
    x = 342.81

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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.