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Finding the Fourth Proportional to 435.97, 653.36 and 240.68

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Solution

The fourth proportional to 435.97, 653.36 and 240.68 is: 360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.97 : 653.36 = 240.68 : x
  2. Step 2: Convert to fraction form
    435.97/653.36 = 240.68/x
  3. Step 3: Cross multiply
    435.97x = 653.36 × 240.68
  4. Step 4: Simplify right side
    435.97x = 157,250.97
  5. Step 5: Solve for x
    x = 157,250.97/435.97
  6. Step 6: Final answer
    x = 360.69

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