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Finding the Fourth Proportional to 433.31, 650.10 and 214.01

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Solution

The fourth proportional to 433.31, 650.10 and 214.01 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.31 : 650.10 = 214.01 : x
  2. Step 2: Convert to fraction form
    433.31/650.10 = 214.01/x
  3. Step 3: Cross multiply
    433.31x = 650.10 × 214.01
  4. Step 4: Simplify right side
    433.31x = 139,127.90
  5. Step 5: Solve for x
    x = 139,127.90/433.31
  6. Step 6: Final answer
    x = 321.08

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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.