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Finding the Fourth Proportional to 435.35, 653.09 and 142.85

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Solution

The fourth proportional to 435.35, 653.09 and 142.85 is: 214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.35 : 653.09 = 142.85 : x
  2. Step 2: Convert to fraction form
    435.35/653.09 = 142.85/x
  3. Step 3: Cross multiply
    435.35x = 653.09 × 142.85
  4. Step 4: Simplify right side
    435.35x = 93,294.82
  5. Step 5: Solve for x
    x = 93,294.82/435.35
  6. Step 6: Final answer
    x = 214.30

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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.