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Finding the Fourth Proportional to 433.95, 650.07 and 202.52

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Solution

The fourth proportional to 433.95, 650.07 and 202.52 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.95 : 650.07 = 202.52 : x
  2. Step 2: Convert to fraction form
    433.95/650.07 = 202.52/x
  3. Step 3: Cross multiply
    433.95x = 650.07 × 202.52
  4. Step 4: Simplify right side
    433.95x = 131,648.93
  5. Step 5: Solve for x
    x = 131,648.93/433.95
  6. Step 6: Final answer
    x = 303.37

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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.