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Finding the Fourth Proportional to 851, 1,275.26 and 418.46

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Solution

The fourth proportional to 851, 1,275.26 and 418.46 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    851 : 1,275.26 = 418.46 : x
  2. Step 2: Convert to fraction form
    851/1,275.26 = 418.46/x
  3. Step 3: Cross multiply
    851x = 1,275.26 × 418.46
  4. Step 4: Simplify right side
    851x = 533,645.30
  5. Step 5: Solve for x
    x = 533,645.30/851
  6. Step 6: Final answer
    x = 627.08

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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.