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Finding the Fourth Proportional to 319.52, 478.26 and 308.81

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Solution

The fourth proportional to 319.52, 478.26 and 308.81 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 478.26 = 308.81 : x
  2. Step 2: Convert to fraction form
    319.52/478.26 = 308.81/x
  3. Step 3: Cross multiply
    319.52x = 478.26 × 308.81
  4. Step 4: Simplify right side
    319.52x = 147,689.08
  5. Step 5: Solve for x
    x = 147,689.08/319.52
  6. Step 6: Final answer
    x = 462.23

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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.