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Finding the Fourth Proportional to 435.85, 602.07 and 353.97

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Solution

The fourth proportional to 435.85, 602.07 and 353.97 is: 488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.85 : 602.07 = 353.97 : x
  2. Step 2: Convert to fraction form
    435.85/602.07 = 353.97/x
  3. Step 3: Cross multiply
    435.85x = 602.07 × 353.97
  4. Step 4: Simplify right side
    435.85x = 213,113.39
  5. Step 5: Solve for x
    x = 213,113.39/435.85
  6. Step 6: Final answer
    x = 488.96

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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.