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Finding the Fourth Proportional to 433.41, 598.07 and 267.63

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Solution

The fourth proportional to 433.41, 598.07 and 267.63 is: 369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.41 : 598.07 = 267.63 : x
  2. Step 2: Convert to fraction form
    433.41/598.07 = 267.63/x
  3. Step 3: Cross multiply
    433.41x = 598.07 × 267.63
  4. Step 4: Simplify right side
    433.41x = 160,060.14
  5. Step 5: Solve for x
    x = 160,060.14/433.41
  6. Step 6: Final answer
    x = 369.30

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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.