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Finding the Fourth Proportional to 435.63, 653.19 and 204.21

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Solution

The fourth proportional to 435.63, 653.19 and 204.21 is: 306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.63 : 653.19 = 204.21 : x
  2. Step 2: Convert to fraction form
    435.63/653.19 = 204.21/x
  3. Step 3: Cross multiply
    435.63x = 653.19 × 204.21
  4. Step 4: Simplify right side
    435.63x = 133,387.93
  5. Step 5: Solve for x
    x = 133,387.93/435.63
  6. Step 6: Final answer
    x = 306.20

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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.