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Finding the Fourth Proportional to 533.60, 735.60 and 440.48

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Solution

The fourth proportional to 533.60, 735.60 and 440.48 is: 607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.60 : 735.60 = 440.48 : x
  2. Step 2: Convert to fraction form
    533.60/735.60 = 440.48/x
  3. Step 3: Cross multiply
    533.60x = 735.60 × 440.48
  4. Step 4: Simplify right side
    533.60x = 324,017.09
  5. Step 5: Solve for x
    x = 324,017.09/533.60
  6. Step 6: Final answer
    x = 607.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.