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Finding the Fourth Proportional to 435.88, 598.84 and 352.73

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Solution

The fourth proportional to 435.88, 598.84 and 352.73 is: 484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.88 : 598.84 = 352.73 : x
  2. Step 2: Convert to fraction form
    435.88/598.84 = 352.73/x
  3. Step 3: Cross multiply
    435.88x = 598.84 × 352.73
  4. Step 4: Simplify right side
    435.88x = 211,229.75
  5. Step 5: Solve for x
    x = 211,229.75/435.88
  6. Step 6: Final answer
    x = 484.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.