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Finding the Fourth Proportional to 433.09, 597.91 and 300.50

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Solution

The fourth proportional to 433.09, 597.91 and 300.50 is: 414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.09 : 597.91 = 300.50 : x
  2. Step 2: Convert to fraction form
    433.09/597.91 = 300.50/x
  3. Step 3: Cross multiply
    433.09x = 597.91 × 300.50
  4. Step 4: Simplify right side
    433.09x = 179,672.70
  5. Step 5: Solve for x
    x = 179,672.70/433.09
  6. Step 6: Final answer
    x = 414.86

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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.