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Finding the Fourth Proportional to 319.80, 479.16 and 281.46

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Solution

The fourth proportional to 319.80, 479.16 and 281.46 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 479.16 = 281.46 : x
  2. Step 2: Convert to fraction form
    319.80/479.16 = 281.46/x
  3. Step 3: Cross multiply
    319.80x = 479.16 × 281.46
  4. Step 4: Simplify right side
    319.80x = 134,864.37
  5. Step 5: Solve for x
    x = 134,864.37/319.80
  6. Step 6: Final answer
    x = 421.71

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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.