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Finding the Fourth Proportional to 483.34, 724.75 and 190.57

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Solution

The fourth proportional to 483.34, 724.75 and 190.57 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.34 : 724.75 = 190.57 : x
  2. Step 2: Convert to fraction form
    483.34/724.75 = 190.57/x
  3. Step 3: Cross multiply
    483.34x = 724.75 × 190.57
  4. Step 4: Simplify right side
    483.34x = 138,111.62
  5. Step 5: Solve for x
    x = 138,111.62/483.34
  6. Step 6: Final answer
    x = 285.74

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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.