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Finding the Fourth Proportional to 319.88, 475.98 and 318.80

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Solution

The fourth proportional to 319.88, 475.98 and 318.80 is: 474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 475.98 = 318.80 : x
  2. Step 2: Convert to fraction form
    319.88/475.98 = 318.80/x
  3. Step 3: Cross multiply
    319.88x = 475.98 × 318.80
  4. Step 4: Simplify right side
    319.88x = 151,742.42
  5. Step 5: Solve for x
    x = 151,742.42/319.88
  6. Step 6: Final answer
    x = 474.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.