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Finding the Fourth Proportional to 600.82, 900.69 and 418.30

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Solution

The fourth proportional to 600.82, 900.69 and 418.30 is: 627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 900.69 = 418.30 : x
  2. Step 2: Convert to fraction form
    600.82/900.69 = 418.30/x
  3. Step 3: Cross multiply
    600.82x = 900.69 × 418.30
  4. Step 4: Simplify right side
    600.82x = 376,758.63
  5. Step 5: Solve for x
    x = 376,758.63/600.82
  6. Step 6: Final answer
    x = 627.07

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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.