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Finding the Fourth Proportional to 433.05, 597.78 and 267.33

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Solution

The fourth proportional to 433.05, 597.78 and 267.33 is: 369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.05 : 597.78 = 267.33 : x
  2. Step 2: Convert to fraction form
    433.05/597.78 = 267.33/x
  3. Step 3: Cross multiply
    433.05x = 597.78 × 267.33
  4. Step 4: Simplify right side
    433.05x = 159,804.53
  5. Step 5: Solve for x
    x = 159,804.53/433.05
  6. Step 6: Final answer
    x = 369.02

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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.