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Finding the Fourth Proportional to 483.60, 667.72 and 410.12

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Solution

The fourth proportional to 483.60, 667.72 and 410.12 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.60 : 667.72 = 410.12 : x
  2. Step 2: Convert to fraction form
    483.60/667.72 = 410.12/x
  3. Step 3: Cross multiply
    483.60x = 667.72 × 410.12
  4. Step 4: Simplify right side
    483.60x = 273,845.33
  5. Step 5: Solve for x
    x = 273,845.33/483.60
  6. Step 6: Final answer
    x = 566.26

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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.