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Finding the Fourth Proportional to 345.05, 518.60 and 319.59

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Solution

The fourth proportional to 345.05, 518.60 and 319.59 is: 480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.05 : 518.60 = 319.59 : x
  2. Step 2: Convert to fraction form
    345.05/518.60 = 319.59/x
  3. Step 3: Cross multiply
    345.05x = 518.60 × 319.59
  4. Step 4: Simplify right side
    345.05x = 165,740.17
  5. Step 5: Solve for x
    x = 165,740.17/345.05
  6. Step 6: Final answer
    x = 480.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.