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Finding the Fourth Proportional to 533.34, 735.39 and 471.78

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Solution

The fourth proportional to 533.34, 735.39 and 471.78 is: 650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.34 : 735.39 = 471.78 : x
  2. Step 2: Convert to fraction form
    533.34/735.39 = 471.78/x
  3. Step 3: Cross multiply
    533.34x = 735.39 × 471.78
  4. Step 4: Simplify right side
    533.34x = 346,942.29
  5. Step 5: Solve for x
    x = 346,942.29/533.34
  6. Step 6: Final answer
    x = 650.51

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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.