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Finding the Fourth Proportional to 533.82, 736.66 and 312.88

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Solution

The fourth proportional to 533.82, 736.66 and 312.88 is: 431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 736.66 = 312.88 : x
  2. Step 2: Convert to fraction form
    533.82/736.66 = 312.88/x
  3. Step 3: Cross multiply
    533.82x = 736.66 × 312.88
  4. Step 4: Simplify right side
    533.82x = 230,486.18
  5. Step 5: Solve for x
    x = 230,486.18/533.82
  6. Step 6: Final answer
    x = 431.77

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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.