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Finding the Fourth Proportional to 319.80, 479.72 and 259.05

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Solution

The fourth proportional to 319.80, 479.72 and 259.05 is: 388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 479.72 = 259.05 : x
  2. Step 2: Convert to fraction form
    319.80/479.72 = 259.05/x
  3. Step 3: Cross multiply
    319.80x = 479.72 × 259.05
  4. Step 4: Simplify right side
    319.80x = 124,272.11
  5. Step 5: Solve for x
    x = 124,272.11/319.80
  6. Step 6: Final answer
    x = 388.59

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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.