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Finding the Fourth Proportional to 477.99, 717.26 and 189.63

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Solution

The fourth proportional to 477.99, 717.26 and 189.63 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.99 : 717.26 = 189.63 : x
  2. Step 2: Convert to fraction form
    477.99/717.26 = 189.63/x
  3. Step 3: Cross multiply
    477.99x = 717.26 × 189.63
  4. Step 4: Simplify right side
    477.99x = 136,014.01
  5. Step 5: Solve for x
    x = 136,014.01/477.99
  6. Step 6: Final answer
    x = 284.55

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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.