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Finding the Fourth Proportional to 533.57, 736.08 and 312.49

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Solution

The fourth proportional to 533.57, 736.08 and 312.49 is: 431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.57 : 736.08 = 312.49 : x
  2. Step 2: Convert to fraction form
    533.57/736.08 = 312.49/x
  3. Step 3: Cross multiply
    533.57x = 736.08 × 312.49
  4. Step 4: Simplify right side
    533.57x = 230,017.64
  5. Step 5: Solve for x
    x = 230,017.64/533.57
  6. Step 6: Final answer
    x = 431.09

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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.