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Finding the Fourth Proportional to 536.26, 739.93 and 303.34

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Solution

The fourth proportional to 536.26, 739.93 and 303.34 is: 418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.26 : 739.93 = 303.34 : x
  2. Step 2: Convert to fraction form
    536.26/739.93 = 303.34/x
  3. Step 3: Cross multiply
    536.26x = 739.93 × 303.34
  4. Step 4: Simplify right side
    536.26x = 224,445.15
  5. Step 5: Solve for x
    x = 224,445.15/536.26
  6. Step 6: Final answer
    x = 418.54

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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.