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Finding the Fourth Proportional to 435.92, 653.14 and 419.06

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Solution

The fourth proportional to 435.92, 653.14 and 419.06 is: 627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.92 : 653.14 = 419.06 : x
  2. Step 2: Convert to fraction form
    435.92/653.14 = 419.06/x
  3. Step 3: Cross multiply
    435.92x = 653.14 × 419.06
  4. Step 4: Simplify right side
    435.92x = 273,704.85
  5. Step 5: Solve for x
    x = 273,704.85/435.92
  6. Step 6: Final answer
    x = 627.88

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Why These Related Problems?

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