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Finding the Fourth Proportional to 433.02, 597.72 and 267.36

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Solution

The fourth proportional to 433.02, 597.72 and 267.36 is: 369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.02 : 597.72 = 267.36 : x
  2. Step 2: Convert to fraction form
    433.02/597.72 = 267.36/x
  3. Step 3: Cross multiply
    433.02x = 597.72 × 267.36
  4. Step 4: Simplify right side
    433.02x = 159,806.42
  5. Step 5: Solve for x
    x = 159,806.42/433.02
  6. Step 6: Final answer
    x = 369.05

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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.