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Finding the Fourth Proportional to 533.07, 735.63 and 300.19

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Solution

The fourth proportional to 533.07, 735.63 and 300.19 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.07 : 735.63 = 300.19 : x
  2. Step 2: Convert to fraction form
    533.07/735.63 = 300.19/x
  3. Step 3: Cross multiply
    533.07x = 735.63 × 300.19
  4. Step 4: Simplify right side
    533.07x = 220,828.77
  5. Step 5: Solve for x
    x = 220,828.77/533.07
  6. Step 6: Final answer
    x = 414.26

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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.