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Finding the Fourth Proportional to 533.84, 736.62 and 312.74

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Solution

The fourth proportional to 533.84, 736.62 and 312.74 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 736.62 = 312.74 : x
  2. Step 2: Convert to fraction form
    533.84/736.62 = 312.74/x
  3. Step 3: Cross multiply
    533.84x = 736.62 × 312.74
  4. Step 4: Simplify right side
    533.84x = 230,370.54
  5. Step 5: Solve for x
    x = 230,370.54/533.84
  6. Step 6: Final answer
    x = 431.53

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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.