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Finding the Fourth Proportional to 300.02, 414.05 and 258.71

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Solution

The fourth proportional to 300.02, 414.05 and 258.71 is: 357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 414.05 = 258.71 : x
  2. Step 2: Convert to fraction form
    300.02/414.05 = 258.71/x
  3. Step 3: Cross multiply
    300.02x = 414.05 × 258.71
  4. Step 4: Simplify right side
    300.02x = 107,115.51
  5. Step 5: Solve for x
    x = 107,115.51/300.02
  6. Step 6: Final answer
    x = 357.03

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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.