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Finding the Fourth Proportional to 344.98, 474.66 and 298.20

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Solution

The fourth proportional to 344.98, 474.66 and 298.20 is: 410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.98 : 474.66 = 298.20 : x
  2. Step 2: Convert to fraction form
    344.98/474.66 = 298.20/x
  3. Step 3: Cross multiply
    344.98x = 474.66 × 298.20
  4. Step 4: Simplify right side
    344.98x = 141,542.12
  5. Step 5: Solve for x
    x = 141,542.12/344.98
  6. Step 6: Final answer
    x = 410.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.