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Finding the Fourth Proportional to 533.78, 736.59 and 309.62

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Solution

The fourth proportional to 533.78, 736.59 and 309.62 is: 427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.78 : 736.59 = 309.62 : x
  2. Step 2: Convert to fraction form
    533.78/736.59 = 309.62/x
  3. Step 3: Cross multiply
    533.78x = 736.59 × 309.62
  4. Step 4: Simplify right side
    533.78x = 228,059.31
  5. Step 5: Solve for x
    x = 228,059.31/533.78
  6. Step 6: Final answer
    x = 427.26

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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.