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Finding the Fourth Proportional to 346.53, 478.17 and 204.73

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Solution

The fourth proportional to 346.53, 478.17 and 204.73 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.53 : 478.17 = 204.73 : x
  2. Step 2: Convert to fraction form
    346.53/478.17 = 204.73/x
  3. Step 3: Cross multiply
    346.53x = 478.17 × 204.73
  4. Step 4: Simplify right side
    346.53x = 97,895.74
  5. Step 5: Solve for x
    x = 97,895.74/346.53
  6. Step 6: Final answer
    x = 282.51

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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.