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Finding the Fourth Proportional to 481.64, 664.35 and 284.99

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Solution

The fourth proportional to 481.64, 664.35 and 284.99 is: 393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.64 : 664.35 = 284.99 : x
  2. Step 2: Convert to fraction form
    481.64/664.35 = 284.99/x
  3. Step 3: Cross multiply
    481.64x = 664.35 × 284.99
  4. Step 4: Simplify right side
    481.64x = 189,333.11
  5. Step 5: Solve for x
    x = 189,333.11/481.64
  6. Step 6: Final answer
    x = 393.10

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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.