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Finding the Fourth Proportional to 433.96, 597.71 and 350.80

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Solution

The fourth proportional to 433.96, 597.71 and 350.80 is: 483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 597.71 = 350.80 : x
  2. Step 2: Convert to fraction form
    433.96/597.71 = 350.80/x
  3. Step 3: Cross multiply
    433.96x = 597.71 × 350.80
  4. Step 4: Simplify right side
    433.96x = 209,676.05
  5. Step 5: Solve for x
    x = 209,676.05/433.96
  6. Step 6: Final answer
    x = 483.17

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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.