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Finding the Fourth Proportional to 533.78, 736.65 and 312.98

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Solution

The fourth proportional to 533.78, 736.65 and 312.98 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.78 : 736.65 = 312.98 : x
  2. Step 2: Convert to fraction form
    533.78/736.65 = 312.98/x
  3. Step 3: Cross multiply
    533.78x = 736.65 × 312.98
  4. Step 4: Simplify right side
    533.78x = 230,556.72
  5. Step 5: Solve for x
    x = 230,556.72/533.78
  6. Step 6: Final answer
    x = 431.93

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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.