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Finding the Fourth Proportional to 421.82, 582.15 and 256.02

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Solution

The fourth proportional to 421.82, 582.15 and 256.02 is: 353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.82 : 582.15 = 256.02 : x
  2. Step 2: Convert to fraction form
    421.82/582.15 = 256.02/x
  3. Step 3: Cross multiply
    421.82x = 582.15 × 256.02
  4. Step 4: Simplify right side
    421.82x = 149,042.04
  5. Step 5: Solve for x
    x = 149,042.04/421.82
  6. Step 6: Final answer
    x = 353.34

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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.