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Finding the Fourth Proportional to 345.26, 519.03 and 319.91

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Solution

The fourth proportional to 345.26, 519.03 and 319.91 is: 480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.26 : 519.03 = 319.91 : x
  2. Step 2: Convert to fraction form
    345.26/519.03 = 319.91/x
  3. Step 3: Cross multiply
    345.26x = 519.03 × 319.91
  4. Step 4: Simplify right side
    345.26x = 166,040.29
  5. Step 5: Solve for x
    x = 166,040.29/345.26
  6. Step 6: Final answer
    x = 480.92

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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.