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Finding the Fourth Proportional to 537.26, 806.16 and 407.21

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Solution

The fourth proportional to 537.26, 806.16 and 407.21 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.26 : 806.16 = 407.21 : x
  2. Step 2: Convert to fraction form
    537.26/806.16 = 407.21/x
  3. Step 3: Cross multiply
    537.26x = 806.16 × 407.21
  4. Step 4: Simplify right side
    537.26x = 328,270.35
  5. Step 5: Solve for x
    x = 328,270.35/537.26
  6. Step 6: Final answer
    x = 611.01

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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.