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Finding the Fourth Proportional to 437.28, 656.69 and 414.23

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Solution

The fourth proportional to 437.28, 656.69 and 414.23 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.28 : 656.69 = 414.23 : x
  2. Step 2: Convert to fraction form
    437.28/656.69 = 414.23/x
  3. Step 3: Cross multiply
    437.28x = 656.69 × 414.23
  4. Step 4: Simplify right side
    437.28x = 272,015.34
  5. Step 5: Solve for x
    x = 272,015.34/437.28
  6. Step 6: Final answer
    x = 622.06

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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.