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Finding the Fourth Proportional to 433.31, 597.67 and 276.14

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Solution

The fourth proportional to 433.31, 597.67 and 276.14 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.31 : 597.67 = 276.14 : x
  2. Step 2: Convert to fraction form
    433.31/597.67 = 276.14/x
  3. Step 3: Cross multiply
    433.31x = 597.67 × 276.14
  4. Step 4: Simplify right side
    433.31x = 165,041.40
  5. Step 5: Solve for x
    x = 165,041.40/433.31
  6. Step 6: Final answer
    x = 380.89

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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.