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Finding the Fourth Proportional to 422.45, 582.93 and 256.64

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Solution

The fourth proportional to 422.45, 582.93 and 256.64 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.45 : 582.93 = 256.64 : x
  2. Step 2: Convert to fraction form
    422.45/582.93 = 256.64/x
  3. Step 3: Cross multiply
    422.45x = 582.93 × 256.64
  4. Step 4: Simplify right side
    422.45x = 149,600.24
  5. Step 5: Solve for x
    x = 149,600.24/422.45
  6. Step 6: Final answer
    x = 354.13

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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.