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Finding the Fourth Proportional to 478.36, 717.73 and 185.88

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Solution

The fourth proportional to 478.36, 717.73 and 185.88 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.36 : 717.73 = 185.88 : x
  2. Step 2: Convert to fraction form
    478.36/717.73 = 185.88/x
  3. Step 3: Cross multiply
    478.36x = 717.73 × 185.88
  4. Step 4: Simplify right side
    478.36x = 133,409.84
  5. Step 5: Solve for x
    x = 133,409.84/478.36
  6. Step 6: Final answer
    x = 278.89

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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.