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Finding the Fourth Proportional to 418.65, 627.27 and 256.00

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Solution

The fourth proportional to 418.65, 627.27 and 256.00 is: 383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.65 : 627.27 = 256.00 : x
  2. Step 2: Convert to fraction form
    418.65/627.27 = 256.00/x
  3. Step 3: Cross multiply
    418.65x = 627.27 × 256.00
  4. Step 4: Simplify right side
    418.65x = 160,577.98
  5. Step 5: Solve for x
    x = 160,577.98/418.65
  6. Step 6: Final answer
    x = 383.56

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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.