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Finding the Fourth Proportional to 467.07, 643.95 and 319.44

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Solution

The fourth proportional to 467.07, 643.95 and 319.44 is: 440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 643.95 = 319.44 : x
  2. Step 2: Convert to fraction form
    467.07/643.95 = 319.44/x
  3. Step 3: Cross multiply
    467.07x = 643.95 × 319.44
  4. Step 4: Simplify right side
    467.07x = 205,705.80
  5. Step 5: Solve for x
    x = 205,705.80/467.07
  6. Step 6: Final answer
    x = 440.42

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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.