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Finding the Fourth Proportional to 598.55, 824.60 and 481.91

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Solution

The fourth proportional to 598.55, 824.60 and 481.91 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.55 : 824.60 = 481.91 : x
  2. Step 2: Convert to fraction form
    598.55/824.60 = 481.91/x
  3. Step 3: Cross multiply
    598.55x = 824.60 × 481.91
  4. Step 4: Simplify right side
    598.55x = 397,380.58
  5. Step 5: Solve for x
    x = 397,380.58/598.55
  6. Step 6: Final answer
    x = 663.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.