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Finding the Fourth Proportional to 418.24, 627.60 and 256

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Solution

The fourth proportional to 418.24, 627.60 and 256 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 627.60 = 256 : x
  2. Step 2: Convert to fraction form
    418.24/627.60 = 256/x
  3. Step 3: Cross multiply
    418.24x = 627.60 × 256
  4. Step 4: Simplify right side
    418.24x = 160,665.60
  5. Step 5: Solve for x
    x = 160,665.60/418.24
  6. Step 6: Final answer
    x = 384.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.