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Finding the Fourth Proportional to 534.09, 736.88 and 324.24

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Solution

The fourth proportional to 534.09, 736.88 and 324.24 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 736.88 = 324.24 : x
  2. Step 2: Convert to fraction form
    534.09/736.88 = 324.24/x
  3. Step 3: Cross multiply
    534.09x = 736.88 × 324.24
  4. Step 4: Simplify right side
    534.09x = 238,924.35
  5. Step 5: Solve for x
    x = 238,924.35/534.09
  6. Step 6: Final answer
    x = 447.35

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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.