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Finding the Fourth Proportional to 345.22, 475.19 and 301.48

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Solution

The fourth proportional to 345.22, 475.19 and 301.48 is: 414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.22 : 475.19 = 301.48 : x
  2. Step 2: Convert to fraction form
    345.22/475.19 = 301.48/x
  3. Step 3: Cross multiply
    345.22x = 475.19 × 301.48
  4. Step 4: Simplify right side
    345.22x = 143,260.28
  5. Step 5: Solve for x
    x = 143,260.28/345.22
  6. Step 6: Final answer
    x = 414.98

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