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Finding the Fourth Proportional to 947.15, 1,420.73 and 330.95

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Solution

The fourth proportional to 947.15, 1,420.73 and 330.95 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.15 : 1,420.73 = 330.95 : x
  2. Step 2: Convert to fraction form
    947.15/1,420.73 = 330.95/x
  3. Step 3: Cross multiply
    947.15x = 1,420.73 × 330.95
  4. Step 4: Simplify right side
    947.15x = 470,181.84
  5. Step 5: Solve for x
    x = 470,181.84/947.15
  6. Step 6: Final answer
    x = 496.42

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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.