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Finding the Fourth Proportional to 319.32, 440.48 and 267.12

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Solution

The fourth proportional to 319.32, 440.48 and 267.12 is: 368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 440.48 = 267.12 : x
  2. Step 2: Convert to fraction form
    319.32/440.48 = 267.12/x
  3. Step 3: Cross multiply
    319.32x = 440.48 × 267.12
  4. Step 4: Simplify right side
    319.32x = 117,661.02
  5. Step 5: Solve for x
    x = 117,661.02/319.32
  6. Step 6: Final answer
    x = 368.47

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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.