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Finding the Fourth Proportional to 421.96, 582.35 and 256.18

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Solution

The fourth proportional to 421.96, 582.35 and 256.18 is: 353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.96 : 582.35 = 256.18 : x
  2. Step 2: Convert to fraction form
    421.96/582.35 = 256.18/x
  3. Step 3: Cross multiply
    421.96x = 582.35 × 256.18
  4. Step 4: Simplify right side
    421.96x = 149,185.14
  5. Step 5: Solve for x
    x = 149,185.14/421.96
  6. Step 6: Final answer
    x = 353.55

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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.