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Finding the Fourth Proportional to 389.63, 584.28 and 142.80

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Solution

The fourth proportional to 389.63, 584.28 and 142.80 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.63 : 584.28 = 142.80 : x
  2. Step 2: Convert to fraction form
    389.63/584.28 = 142.80/x
  3. Step 3: Cross multiply
    389.63x = 584.28 × 142.80
  4. Step 4: Simplify right side
    389.63x = 83,432.99
  5. Step 5: Solve for x
    x = 83,432.99/389.63
  6. Step 6: Final answer
    x = 214.14

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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.