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Finding the Fourth Proportional to 417.88, 627.23 and 255.88

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Solution

The fourth proportional to 417.88, 627.23 and 255.88 is: 384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.88 : 627.23 = 255.88 : x
  2. Step 2: Convert to fraction form
    417.88/627.23 = 255.88/x
  3. Step 3: Cross multiply
    417.88x = 627.23 × 255.88
  4. Step 4: Simplify right side
    417.88x = 160,495.61
  5. Step 5: Solve for x
    x = 160,495.61/417.88
  6. Step 6: Final answer
    x = 384.07

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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.