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Finding the Fourth Proportional to 346.97, 478.67 and 222.58

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Solution

The fourth proportional to 346.97, 478.67 and 222.58 is: 307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 478.67 = 222.58 : x
  2. Step 2: Convert to fraction form
    346.97/478.67 = 222.58/x
  3. Step 3: Cross multiply
    346.97x = 478.67 × 222.58
  4. Step 4: Simplify right side
    346.97x = 106,541.85
  5. Step 5: Solve for x
    x = 106,541.85/346.97
  6. Step 6: Final answer
    x = 307.06

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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.