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Finding the Fourth Proportional to 534.12, 736.10 and 435.56

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Solution

The fourth proportional to 534.12, 736.10 and 435.56 is: 600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 736.10 = 435.56 : x
  2. Step 2: Convert to fraction form
    534.12/736.10 = 435.56/x
  3. Step 3: Cross multiply
    534.12x = 736.10 × 435.56
  4. Step 4: Simplify right side
    534.12x = 320,615.72
  5. Step 5: Solve for x
    x = 320,615.72/534.12
  6. Step 6: Final answer
    x = 600.27

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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.