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Finding the Fourth Proportional to 433.71, 650.42 and 364.31

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Solution

The fourth proportional to 433.71, 650.42 and 364.31 is: 546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.71 : 650.42 = 364.31 : x
  2. Step 2: Convert to fraction form
    433.71/650.42 = 364.31/x
  3. Step 3: Cross multiply
    433.71x = 650.42 × 364.31
  4. Step 4: Simplify right side
    433.71x = 236,957.31
  5. Step 5: Solve for x
    x = 236,957.31/433.71
  6. Step 6: Final answer
    x = 546.36

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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.