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Finding the Fourth Proportional to 433.83, 600.02 and 426.54

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Solution

The fourth proportional to 433.83, 600.02 and 426.54 is: 589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.83 : 600.02 = 426.54 : x
  2. Step 2: Convert to fraction form
    433.83/600.02 = 426.54/x
  3. Step 3: Cross multiply
    433.83x = 600.02 × 426.54
  4. Step 4: Simplify right side
    433.83x = 255,932.53
  5. Step 5: Solve for x
    x = 255,932.53/433.83
  6. Step 6: Final answer
    x = 589.94

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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.