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Finding the Fourth Proportional to 533.64, 735.87 and 484.50

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Solution

The fourth proportional to 533.64, 735.87 and 484.50 is: 668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.64 : 735.87 = 484.50 : x
  2. Step 2: Convert to fraction form
    533.64/735.87 = 484.50/x
  3. Step 3: Cross multiply
    533.64x = 735.87 × 484.50
  4. Step 4: Simplify right side
    533.64x = 356,529.02
  5. Step 5: Solve for x
    x = 356,529.02/533.64
  6. Step 6: Final answer
    x = 668.11

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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.