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Finding the Fourth Proportional to 947.22, 1,420.72 and 330.88

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Solution

The fourth proportional to 947.22, 1,420.72 and 330.88 is: 496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.22 : 1,420.72 = 330.88 : x
  2. Step 2: Convert to fraction form
    947.22/1,420.72 = 330.88/x
  3. Step 3: Cross multiply
    947.22x = 1,420.72 × 330.88
  4. Step 4: Simplify right side
    947.22x = 470,083.45
  5. Step 5: Solve for x
    x = 470,083.45/947.22
  6. Step 6: Final answer
    x = 496.28

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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.