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Finding the Fourth Proportional to 947.72, 1,421.06 and 298.28

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Solution

The fourth proportional to 947.72, 1,421.06 and 298.28 is: 447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.72 : 1,421.06 = 298.28 : x
  2. Step 2: Convert to fraction form
    947.72/1,421.06 = 298.28/x
  3. Step 3: Cross multiply
    947.72x = 1,421.06 × 298.28
  4. Step 4: Simplify right side
    947.72x = 423,873.78
  5. Step 5: Solve for x
    x = 423,873.78/947.72
  6. Step 6: Final answer
    x = 447.26

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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.