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Finding the Fourth Proportional to 433.15, 597.48 and 267.23

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Solution

The fourth proportional to 433.15, 597.48 and 267.23 is: 368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.15 : 597.48 = 267.23 : x
  2. Step 2: Convert to fraction form
    433.15/597.48 = 267.23/x
  3. Step 3: Cross multiply
    433.15x = 597.48 × 267.23
  4. Step 4: Simplify right side
    433.15x = 159,665.07
  5. Step 5: Solve for x
    x = 159,665.07/433.15
  6. Step 6: Final answer
    x = 368.62

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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.