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Finding the Fourth Proportional to 482.52, 723.74 and 189.86

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Solution

The fourth proportional to 482.52, 723.74 and 189.86 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.52 : 723.74 = 189.86 : x
  2. Step 2: Convert to fraction form
    482.52/723.74 = 189.86/x
  3. Step 3: Cross multiply
    482.52x = 723.74 × 189.86
  4. Step 4: Simplify right side
    482.52x = 137,409.28
  5. Step 5: Solve for x
    x = 137,409.28/482.52
  6. Step 6: Final answer
    x = 284.77

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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.