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Finding the Fourth Proportional to 492.60, 680.46 and 478.20

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Solution

The fourth proportional to 492.60, 680.46 and 478.20 is: 660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.60 : 680.46 = 478.20 : x
  2. Step 2: Convert to fraction form
    492.60/680.46 = 478.20/x
  3. Step 3: Cross multiply
    492.60x = 680.46 × 478.20
  4. Step 4: Simplify right side
    492.60x = 325,395.97
  5. Step 5: Solve for x
    x = 325,395.97/492.60
  6. Step 6: Final answer
    x = 660.57

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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.