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Finding the Fourth Proportional to 433.73, 598.14 and 276.32

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Solution

The fourth proportional to 433.73, 598.14 and 276.32 is: 381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.73 : 598.14 = 276.32 : x
  2. Step 2: Convert to fraction form
    433.73/598.14 = 276.32/x
  3. Step 3: Cross multiply
    433.73x = 598.14 × 276.32
  4. Step 4: Simplify right side
    433.73x = 165,278.04
  5. Step 5: Solve for x
    x = 165,278.04/433.73
  6. Step 6: Final answer
    x = 381.06

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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.