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Finding the Fourth Proportional to 421.97, 582.41 and 256.14

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Solution

The fourth proportional to 421.97, 582.41 and 256.14 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.97 : 582.41 = 256.14 : x
  2. Step 2: Convert to fraction form
    421.97/582.41 = 256.14/x
  3. Step 3: Cross multiply
    421.97x = 582.41 × 256.14
  4. Step 4: Simplify right side
    421.97x = 149,181.32
  5. Step 5: Solve for x
    x = 149,181.32/421.97
  6. Step 6: Final answer
    x = 353.54

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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.