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Finding the Fourth Proportional to 422.59, 583.08 and 267.25

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Solution

The fourth proportional to 422.59, 583.08 and 267.25 is: 368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.59 : 583.08 = 267.25 : x
  2. Step 2: Convert to fraction form
    422.59/583.08 = 267.25/x
  3. Step 3: Cross multiply
    422.59x = 583.08 × 267.25
  4. Step 4: Simplify right side
    422.59x = 155,828.13
  5. Step 5: Solve for x
    x = 155,828.13/422.59
  6. Step 6: Final answer
    x = 368.75

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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.