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Finding the Fourth Proportional to 533.19, 735.85 and 300.31

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Solution

The fourth proportional to 533.19, 735.85 and 300.31 is: 414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.19 : 735.85 = 300.31 : x
  2. Step 2: Convert to fraction form
    533.19/735.85 = 300.31/x
  3. Step 3: Cross multiply
    533.19x = 735.85 × 300.31
  4. Step 4: Simplify right side
    533.19x = 220,983.11
  5. Step 5: Solve for x
    x = 220,983.11/533.19
  6. Step 6: Final answer
    x = 414.45

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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.