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Finding the Fourth Proportional to 662.54, 994.53 and 278.06

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Solution

The fourth proportional to 662.54, 994.53 and 278.06 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.54 : 994.53 = 278.06 : x
  2. Step 2: Convert to fraction form
    662.54/994.53 = 278.06/x
  3. Step 3: Cross multiply
    662.54x = 994.53 × 278.06
  4. Step 4: Simplify right side
    662.54x = 276,539.01
  5. Step 5: Solve for x
    x = 276,539.01/662.54
  6. Step 6: Final answer
    x = 417.39

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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.