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Finding the Fourth Proportional to 533.09, 798.22 and 417.77

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Solution

The fourth proportional to 533.09, 798.22 and 417.77 is: 625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.09 : 798.22 = 417.77 : x
  2. Step 2: Convert to fraction form
    533.09/798.22 = 417.77/x
  3. Step 3: Cross multiply
    533.09x = 798.22 × 417.77
  4. Step 4: Simplify right side
    533.09x = 333,467.33
  5. Step 5: Solve for x
    x = 333,467.33/533.09
  6. Step 6: Final answer
    x = 625.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.