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Finding the Fourth Proportional to 533.44, 735.48 and 346.66

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Solution

The fourth proportional to 533.44, 735.48 and 346.66 is: 477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.44 : 735.48 = 346.66 : x
  2. Step 2: Convert to fraction form
    533.44/735.48 = 346.66/x
  3. Step 3: Cross multiply
    533.44x = 735.48 × 346.66
  4. Step 4: Simplify right side
    533.44x = 254,961.50
  5. Step 5: Solve for x
    x = 254,961.50/533.44
  6. Step 6: Final answer
    x = 477.96

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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.