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Finding the Fourth Proportional to 533.54, 731.58 and 480.87

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Solution

The fourth proportional to 533.54, 731.58 and 480.87 is: 659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.54 : 731.58 = 480.87 : x
  2. Step 2: Convert to fraction form
    533.54/731.58 = 480.87/x
  3. Step 3: Cross multiply
    533.54x = 731.58 × 480.87
  4. Step 4: Simplify right side
    533.54x = 351,795.78
  5. Step 5: Solve for x
    x = 351,795.78/533.54
  6. Step 6: Final answer
    x = 659.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.