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Finding the Fourth Proportional to 319.95, 480.38 and 210.29

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Solution

The fourth proportional to 319.95, 480.38 and 210.29 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 480.38 = 210.29 : x
  2. Step 2: Convert to fraction form
    319.95/480.38 = 210.29/x
  3. Step 3: Cross multiply
    319.95x = 480.38 × 210.29
  4. Step 4: Simplify right side
    319.95x = 101,015.66
  5. Step 5: Solve for x
    x = 101,015.66/319.95
  6. Step 6: Final answer
    x = 315.72

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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.