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Finding the Fourth Proportional to 289.08, 398.40 and 267.03

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Solution

The fourth proportional to 289.08, 398.40 and 267.03 is: 368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.08 : 398.40 = 267.03 : x
  2. Step 2: Convert to fraction form
    289.08/398.40 = 267.03/x
  3. Step 3: Cross multiply
    289.08x = 398.40 × 267.03
  4. Step 4: Simplify right side
    289.08x = 106,384.75
  5. Step 5: Solve for x
    x = 106,384.75/289.08
  6. Step 6: Final answer
    x = 368.01

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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.