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Finding the Fourth Proportional to 422.40, 582.98 and 275.25

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Solution

The fourth proportional to 422.40, 582.98 and 275.25 is: 379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.40 : 582.98 = 275.25 : x
  2. Step 2: Convert to fraction form
    422.40/582.98 = 275.25/x
  3. Step 3: Cross multiply
    422.40x = 582.98 × 275.25
  4. Step 4: Simplify right side
    422.40x = 160,463.87
  5. Step 5: Solve for x
    x = 160,463.87/422.40
  6. Step 6: Final answer
    x = 379.89

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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.