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Finding the Fourth Proportional to 482.60, 720.37 and 414.56

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Solution

The fourth proportional to 482.60, 720.37 and 414.56 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.60 : 720.37 = 414.56 : x
  2. Step 2: Convert to fraction form
    482.60/720.37 = 414.56/x
  3. Step 3: Cross multiply
    482.60x = 720.37 × 414.56
  4. Step 4: Simplify right side
    482.60x = 298,636.78
  5. Step 5: Solve for x
    x = 298,636.78/482.60
  6. Step 6: Final answer
    x = 618.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.