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Finding the Fourth Proportional to 433.72, 598.71 and 276.58

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Solution

The fourth proportional to 433.72, 598.71 and 276.58 is: 381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 598.71 = 276.58 : x
  2. Step 2: Convert to fraction form
    433.72/598.71 = 276.58/x
  3. Step 3: Cross multiply
    433.72x = 598.71 × 276.58
  4. Step 4: Simplify right side
    433.72x = 165,591.21
  5. Step 5: Solve for x
    x = 165,591.21/433.72
  6. Step 6: Final answer
    x = 381.79

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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.