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Finding the Fourth Proportional to 492.54, 680.61 and 476.52

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Solution

The fourth proportional to 492.54, 680.61 and 476.52 is: 658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.54 : 680.61 = 476.52 : x
  2. Step 2: Convert to fraction form
    492.54/680.61 = 476.52/x
  3. Step 3: Cross multiply
    492.54x = 680.61 × 476.52
  4. Step 4: Simplify right side
    492.54x = 324,324.28
  5. Step 5: Solve for x
    x = 324,324.28/492.54
  6. Step 6: Final answer
    x = 658.47

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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.