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Finding the Fourth Proportional to 947.26, 1,420.86 and 298

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Solution

The fourth proportional to 947.26, 1,420.86 and 298 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.26 : 1,420.86 = 298 : x
  2. Step 2: Convert to fraction form
    947.26/1,420.86 = 298/x
  3. Step 3: Cross multiply
    947.26x = 1,420.86 × 298
  4. Step 4: Simplify right side
    947.26x = 423,416.28
  5. Step 5: Solve for x
    x = 423,416.28/947.26
  6. Step 6: Final answer
    x = 446.99

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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.