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Finding the Fourth Proportional to 319.70, 480.16 and 283.94

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Solution

The fourth proportional to 319.70, 480.16 and 283.94 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.70 : 480.16 = 283.94 : x
  2. Step 2: Convert to fraction form
    319.70/480.16 = 283.94/x
  3. Step 3: Cross multiply
    319.70x = 480.16 × 283.94
  4. Step 4: Simplify right side
    319.70x = 136,336.63
  5. Step 5: Solve for x
    x = 136,336.63/319.70
  6. Step 6: Final answer
    x = 426.45

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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.