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Finding the Fourth Proportional to 474.16, 654.28 and 267.16

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Solution

The fourth proportional to 474.16, 654.28 and 267.16 is: 368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.16 : 654.28 = 267.16 : x
  2. Step 2: Convert to fraction form
    474.16/654.28 = 267.16/x
  3. Step 3: Cross multiply
    474.16x = 654.28 × 267.16
  4. Step 4: Simplify right side
    474.16x = 174,797.44
  5. Step 5: Solve for x
    x = 174,797.44/474.16
  6. Step 6: Final answer
    x = 368.65

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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.