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Finding the Fourth Proportional to 481.20, 719.64 and 469.32

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Solution

The fourth proportional to 481.20, 719.64 and 469.32 is: 701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.20 : 719.64 = 469.32 : x
  2. Step 2: Convert to fraction form
    481.20/719.64 = 469.32/x
  3. Step 3: Cross multiply
    481.20x = 719.64 × 469.32
  4. Step 4: Simplify right side
    481.20x = 337,741.44
  5. Step 5: Solve for x
    x = 337,741.44/481.20
  6. Step 6: Final answer
    x = 701.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.