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Finding the Fourth Proportional to 319.58, 441.10 and 267.08

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Solution

The fourth proportional to 319.58, 441.10 and 267.08 is: 368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.58 : 441.10 = 267.08 : x
  2. Step 2: Convert to fraction form
    319.58/441.10 = 267.08/x
  3. Step 3: Cross multiply
    319.58x = 441.10 × 267.08
  4. Step 4: Simplify right side
    319.58x = 117,808.99
  5. Step 5: Solve for x
    x = 117,808.99/319.58
  6. Step 6: Final answer
    x = 368.64

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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.