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Finding the Fourth Proportional to 429.39, 643.59 and 267.18

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Solution

The fourth proportional to 429.39, 643.59 and 267.18 is: 400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.39 : 643.59 = 267.18 : x
  2. Step 2: Convert to fraction form
    429.39/643.59 = 267.18/x
  3. Step 3: Cross multiply
    429.39x = 643.59 × 267.18
  4. Step 4: Simplify right side
    429.39x = 171,954.38
  5. Step 5: Solve for x
    x = 171,954.38/429.39
  6. Step 6: Final answer
    x = 400.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.