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Finding the Fourth Proportional to 433.53, 597.99 and 267.60

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Solution

The fourth proportional to 433.53, 597.99 and 267.60 is: 369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 597.99 = 267.60 : x
  2. Step 2: Convert to fraction form
    433.53/597.99 = 267.60/x
  3. Step 3: Cross multiply
    433.53x = 597.99 × 267.60
  4. Step 4: Simplify right side
    433.53x = 160,022.12
  5. Step 5: Solve for x
    x = 160,022.12/433.53
  6. Step 6: Final answer
    x = 369.11

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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.