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Finding the Fourth Proportional to 435.11, 653.06 and 204.14

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Solution

The fourth proportional to 435.11, 653.06 and 204.14 is: 306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.11 : 653.06 = 204.14 : x
  2. Step 2: Convert to fraction form
    435.11/653.06 = 204.14/x
  3. Step 3: Cross multiply
    435.11x = 653.06 × 204.14
  4. Step 4: Simplify right side
    435.11x = 133,312.91
  5. Step 5: Solve for x
    x = 133,312.91/435.11
  6. Step 6: Final answer
    x = 306.39

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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.