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Finding the Fourth Proportional to 433.13, 597.78 and 267.39

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Solution

The fourth proportional to 433.13, 597.78 and 267.39 is: 369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 597.78 = 267.39 : x
  2. Step 2: Convert to fraction form
    433.13/597.78 = 267.39/x
  3. Step 3: Cross multiply
    433.13x = 597.78 × 267.39
  4. Step 4: Simplify right side
    433.13x = 159,840.39
  5. Step 5: Solve for x
    x = 159,840.39/433.13
  6. Step 6: Final answer
    x = 369.04

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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.