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Finding the Fourth Proportional to 346.18, 477.56 and 228.11

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Solution

The fourth proportional to 346.18, 477.56 and 228.11 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.18 : 477.56 = 228.11 : x
  2. Step 2: Convert to fraction form
    346.18/477.56 = 228.11/x
  3. Step 3: Cross multiply
    346.18x = 477.56 × 228.11
  4. Step 4: Simplify right side
    346.18x = 108,936.21
  5. Step 5: Solve for x
    x = 108,936.21/346.18
  6. Step 6: Final answer
    x = 314.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.