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Finding the Fourth Proportional to 435.40, 653.42 and 273.18

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Solution

The fourth proportional to 435.40, 653.42 and 273.18 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 653.42 = 273.18 : x
  2. Step 2: Convert to fraction form
    435.40/653.42 = 273.18/x
  3. Step 3: Cross multiply
    435.40x = 653.42 × 273.18
  4. Step 4: Simplify right side
    435.40x = 178,501.28
  5. Step 5: Solve for x
    x = 178,501.28/435.40
  6. Step 6: Final answer
    x = 409.97

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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.