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Finding the Fourth Proportional to 485.06, 727.45 and 192.45

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Solution

The fourth proportional to 485.06, 727.45 and 192.45 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.06 : 727.45 = 192.45 : x
  2. Step 2: Convert to fraction form
    485.06/727.45 = 192.45/x
  3. Step 3: Cross multiply
    485.06x = 727.45 × 192.45
  4. Step 4: Simplify right side
    485.06x = 139,997.27
  5. Step 5: Solve for x
    x = 139,997.27/485.06
  6. Step 6: Final answer
    x = 288.62

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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.