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Finding the Fourth Proportional to 533.02, 735.60 and 300.15

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Solution

The fourth proportional to 533.02, 735.60 and 300.15 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.02 : 735.60 = 300.15 : x
  2. Step 2: Convert to fraction form
    533.02/735.60 = 300.15/x
  3. Step 3: Cross multiply
    533.02x = 735.60 × 300.15
  4. Step 4: Simplify right side
    533.02x = 220,790.34
  5. Step 5: Solve for x
    x = 220,790.34/533.02
  6. Step 6: Final answer
    x = 414.23

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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.