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Finding the Fourth Proportional to 422.16, 582.60 and 284.24

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Solution

The fourth proportional to 422.16, 582.60 and 284.24 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.16 : 582.60 = 284.24 : x
  2. Step 2: Convert to fraction form
    422.16/582.60 = 284.24/x
  3. Step 3: Cross multiply
    422.16x = 582.60 × 284.24
  4. Step 4: Simplify right side
    422.16x = 165,598.22
  5. Step 5: Solve for x
    x = 165,598.22/422.16
  6. Step 6: Final answer
    x = 392.26

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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.