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Finding the Fourth Proportional to 306.01, 421.77 and 259.51

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Solution

The fourth proportional to 306.01, 421.77 and 259.51 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.01 : 421.77 = 259.51 : x
  2. Step 2: Convert to fraction form
    306.01/421.77 = 259.51/x
  3. Step 3: Cross multiply
    306.01x = 421.77 × 259.51
  4. Step 4: Simplify right side
    306.01x = 109,453.53
  5. Step 5: Solve for x
    x = 109,453.53/306.01
  6. Step 6: Final answer
    x = 357.68

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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.