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Finding the Fourth Proportional to 433.30, 597.32 and 267.22

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Solution

The fourth proportional to 433.30, 597.32 and 267.22 is: 368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.30 : 597.32 = 267.22 : x
  2. Step 2: Convert to fraction form
    433.30/597.32 = 267.22/x
  3. Step 3: Cross multiply
    433.30x = 597.32 × 267.22
  4. Step 4: Simplify right side
    433.30x = 159,619.45
  5. Step 5: Solve for x
    x = 159,619.45/433.30
  6. Step 6: Final answer
    x = 368.38

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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.