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Finding the Fourth Proportional to 483.08, 724.62 and 194.32

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Solution

The fourth proportional to 483.08, 724.62 and 194.32 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.08 : 724.62 = 194.32 : x
  2. Step 2: Convert to fraction form
    483.08/724.62 = 194.32/x
  3. Step 3: Cross multiply
    483.08x = 724.62 × 194.32
  4. Step 4: Simplify right side
    483.08x = 140,803.56
  5. Step 5: Solve for x
    x = 140,803.56/483.08
  6. Step 6: Final answer
    x = 291.47

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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.