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Finding the Fourth Proportional to 534.44, 736.26 and 410.28

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Solution

The fourth proportional to 534.44, 736.26 and 410.28 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.44 : 736.26 = 410.28 : x
  2. Step 2: Convert to fraction form
    534.44/736.26 = 410.28/x
  3. Step 3: Cross multiply
    534.44x = 736.26 × 410.28
  4. Step 4: Simplify right side
    534.44x = 302,072.75
  5. Step 5: Solve for x
    x = 302,072.75/534.44
  6. Step 6: Final answer
    x = 565.21

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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.