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Finding the Fourth Proportional to 534.22, 736.85 and 366.26

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Solution

The fourth proportional to 534.22, 736.85 and 366.26 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.22 : 736.85 = 366.26 : x
  2. Step 2: Convert to fraction form
    534.22/736.85 = 366.26/x
  3. Step 3: Cross multiply
    534.22x = 736.85 × 366.26
  4. Step 4: Simplify right side
    534.22x = 269,875.91
  5. Step 5: Solve for x
    x = 269,875.91/534.22
  6. Step 6: Final answer
    x = 505.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.