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Finding the Fourth Proportional to 345.14, 514.11 and 326.51

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Solution

The fourth proportional to 345.14, 514.11 and 326.51 is: 486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.14 : 514.11 = 326.51 : x
  2. Step 2: Convert to fraction form
    345.14/514.11 = 326.51/x
  3. Step 3: Cross multiply
    345.14x = 514.11 × 326.51
  4. Step 4: Simplify right side
    345.14x = 167,859.49
  5. Step 5: Solve for x
    x = 167,859.49/345.14
  6. Step 6: Final answer
    x = 486.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.