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Finding the Fourth Proportional to 533.09, 735.59 and 300.17

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Solution

The fourth proportional to 533.09, 735.59 and 300.17 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.09 : 735.59 = 300.17 : x
  2. Step 2: Convert to fraction form
    533.09/735.59 = 300.17/x
  3. Step 3: Cross multiply
    533.09x = 735.59 × 300.17
  4. Step 4: Simplify right side
    533.09x = 220,800.55
  5. Step 5: Solve for x
    x = 220,800.55/533.09
  6. Step 6: Final answer
    x = 414.19

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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.