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Finding the Fourth Proportional to 436.74, 655.26 and 274.24

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Solution

The fourth proportional to 436.74, 655.26 and 274.24 is: 411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.74 : 655.26 = 274.24 : x
  2. Step 2: Convert to fraction form
    436.74/655.26 = 274.24/x
  3. Step 3: Cross multiply
    436.74x = 655.26 × 274.24
  4. Step 4: Simplify right side
    436.74x = 179,698.50
  5. Step 5: Solve for x
    x = 179,698.50/436.74
  6. Step 6: Final answer
    x = 411.45

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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.