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Finding the Fourth Proportional to 947.44, 1,421.12 and 298.16

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Solution

The fourth proportional to 947.44, 1,421.12 and 298.16 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.44 : 1,421.12 = 298.16 : x
  2. Step 2: Convert to fraction form
    947.44/1,421.12 = 298.16/x
  3. Step 3: Cross multiply
    947.44x = 1,421.12 × 298.16
  4. Step 4: Simplify right side
    947.44x = 423,721.14
  5. Step 5: Solve for x
    x = 423,721.14/947.44
  6. Step 6: Final answer
    x = 447.23

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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.