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Finding the Fourth Proportional to 346.82, 478.41 and 228.76

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Solution

The fourth proportional to 346.82, 478.41 and 228.76 is: 315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.82 : 478.41 = 228.76 : x
  2. Step 2: Convert to fraction form
    346.82/478.41 = 228.76/x
  3. Step 3: Cross multiply
    346.82x = 478.41 × 228.76
  4. Step 4: Simplify right side
    346.82x = 109,439.02
  5. Step 5: Solve for x
    x = 109,439.02/346.82
  6. Step 6: Final answer
    x = 315.55

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Why These Related Problems?

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