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Finding the Fourth Proportional to 433.43, 598.33 and 276.28

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Solution

The fourth proportional to 433.43, 598.33 and 276.28 is: 381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.43 : 598.33 = 276.28 : x
  2. Step 2: Convert to fraction form
    433.43/598.33 = 276.28/x
  3. Step 3: Cross multiply
    433.43x = 598.33 × 276.28
  4. Step 4: Simplify right side
    433.43x = 165,303.42
  5. Step 5: Solve for x
    x = 165,303.42/433.43
  6. Step 6: Final answer
    x = 381.39

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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.