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Finding the Fourth Proportional to 385.20, 580.49 and 346.73

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Solution

The fourth proportional to 385.20, 580.49 and 346.73 is: 522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 580.49 = 346.73 : x
  2. Step 2: Convert to fraction form
    385.20/580.49 = 346.73/x
  3. Step 3: Cross multiply
    385.20x = 580.49 × 346.73
  4. Step 4: Simplify right side
    385.20x = 201,268.66
  5. Step 5: Solve for x
    x = 201,268.66/385.20
  6. Step 6: Final answer
    x = 522.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.