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Finding the Fourth Proportional to 421.84, 582.08 and 256

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Solution

The fourth proportional to 421.84, 582.08 and 256 is: 353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.84 : 582.08 = 256 : x
  2. Step 2: Convert to fraction form
    421.84/582.08 = 256/x
  3. Step 3: Cross multiply
    421.84x = 582.08 × 256
  4. Step 4: Simplify right side
    421.84x = 149,012.48
  5. Step 5: Solve for x
    x = 149,012.48/421.84
  6. Step 6: Final answer
    x = 353.24

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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.