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Finding the Fourth Proportional to 433.16, 597.68 and 267.40

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Solution

The fourth proportional to 433.16, 597.68 and 267.40 is: 368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 597.68 = 267.40 : x
  2. Step 2: Convert to fraction form
    433.16/597.68 = 267.40/x
  3. Step 3: Cross multiply
    433.16x = 597.68 × 267.40
  4. Step 4: Simplify right side
    433.16x = 159,819.63
  5. Step 5: Solve for x
    x = 159,819.63/433.16
  6. Step 6: Final answer
    x = 368.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.