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Finding the Fourth Proportional to 422.58, 582.61 and 310.19

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Solution

The fourth proportional to 422.58, 582.61 and 310.19 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.58 : 582.61 = 310.19 : x
  2. Step 2: Convert to fraction form
    422.58/582.61 = 310.19/x
  3. Step 3: Cross multiply
    422.58x = 582.61 × 310.19
  4. Step 4: Simplify right side
    422.58x = 180,719.02
  5. Step 5: Solve for x
    x = 180,719.02/422.58
  6. Step 6: Final answer
    x = 427.66

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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.