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Finding the Fourth Proportional to 427.80, 642 and 319.80

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Solution

The fourth proportional to 427.80, 642 and 319.80 is: 479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.80 : 642 = 319.80 : x
  2. Step 2: Convert to fraction form
    427.80/642 = 319.80/x
  3. Step 3: Cross multiply
    427.80x = 642 × 319.80
  4. Step 4: Simplify right side
    427.80x = 205,311.60
  5. Step 5: Solve for x
    x = 205,311.60/427.80
  6. Step 6: Final answer
    x = 479.92

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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.