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Finding the Fourth Proportional to 344.67, 475.29 and 298.01

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Solution

The fourth proportional to 344.67, 475.29 and 298.01 is: 410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.67 : 475.29 = 298.01 : x
  2. Step 2: Convert to fraction form
    344.67/475.29 = 298.01/x
  3. Step 3: Cross multiply
    344.67x = 475.29 × 298.01
  4. Step 4: Simplify right side
    344.67x = 141,638.80
  5. Step 5: Solve for x
    x = 141,638.80/344.67
  6. Step 6: Final answer
    x = 410.94

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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.