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Finding the Fourth Proportional to 483.30, 724.92 and 277.22

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Solution

The fourth proportional to 483.30, 724.92 and 277.22 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.30 : 724.92 = 277.22 : x
  2. Step 2: Convert to fraction form
    483.30/724.92 = 277.22/x
  3. Step 3: Cross multiply
    483.30x = 724.92 × 277.22
  4. Step 4: Simplify right side
    483.30x = 200,962.32
  5. Step 5: Solve for x
    x = 200,962.32/483.30
  6. Step 6: Final answer
    x = 415.81

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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.