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Finding the Fourth Proportional to 345.01, 475.87 and 214.09

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Solution

The fourth proportional to 345.01, 475.87 and 214.09 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.01 : 475.87 = 214.09 : x
  2. Step 2: Convert to fraction form
    345.01/475.87 = 214.09/x
  3. Step 3: Cross multiply
    345.01x = 475.87 × 214.09
  4. Step 4: Simplify right side
    345.01x = 101,879.01
  5. Step 5: Solve for x
    x = 101,879.01/345.01
  6. Step 6: Final answer
    x = 295.29

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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.