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Finding the Fourth Proportional to 346.64, 478.24 and 213.76

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Solution

The fourth proportional to 346.64, 478.24 and 213.76 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.64 : 478.24 = 213.76 : x
  2. Step 2: Convert to fraction form
    346.64/478.24 = 213.76/x
  3. Step 3: Cross multiply
    346.64x = 478.24 × 213.76
  4. Step 4: Simplify right side
    346.64x = 102,228.58
  5. Step 5: Solve for x
    x = 102,228.58/346.64
  6. Step 6: Final answer
    x = 294.91

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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.