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Finding the Fourth Proportional to 947.01, 1,420.67 and 297.59

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Solution

The fourth proportional to 947.01, 1,420.67 and 297.59 is: 446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.01 : 1,420.67 = 297.59 : x
  2. Step 2: Convert to fraction form
    947.01/1,420.67 = 297.59/x
  3. Step 3: Cross multiply
    947.01x = 1,420.67 × 297.59
  4. Step 4: Simplify right side
    947.01x = 422,777.19
  5. Step 5: Solve for x
    x = 422,777.19/947.01
  6. Step 6: Final answer
    x = 446.43

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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.