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Finding the Fourth Proportional to 482.37, 723.77 and 189.96

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Solution

The fourth proportional to 482.37, 723.77 and 189.96 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.37 : 723.77 = 189.96 : x
  2. Step 2: Convert to fraction form
    482.37/723.77 = 189.96/x
  3. Step 3: Cross multiply
    482.37x = 723.77 × 189.96
  4. Step 4: Simplify right side
    482.37x = 137,486.40
  5. Step 5: Solve for x
    x = 137,486.40/482.37
  6. Step 6: Final answer
    x = 285.02

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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.