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Finding the Fourth Proportional to 533.08, 798.40 and 301.52

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Solution

The fourth proportional to 533.08, 798.40 and 301.52 is: 451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 798.40 = 301.52 : x
  2. Step 2: Convert to fraction form
    533.08/798.40 = 301.52/x
  3. Step 3: Cross multiply
    533.08x = 798.40 × 301.52
  4. Step 4: Simplify right side
    533.08x = 240,733.57
  5. Step 5: Solve for x
    x = 240,733.57/533.08
  6. Step 6: Final answer
    x = 451.59

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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.