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Finding the Fourth Proportional to 485.56, 728.26 and 403.82

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Solution

The fourth proportional to 485.56, 728.26 and 403.82 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.56 : 728.26 = 403.82 : x
  2. Step 2: Convert to fraction form
    485.56/728.26 = 403.82/x
  3. Step 3: Cross multiply
    485.56x = 728.26 × 403.82
  4. Step 4: Simplify right side
    485.56x = 294,085.95
  5. Step 5: Solve for x
    x = 294,085.95/485.56
  6. Step 6: Final answer
    x = 605.66

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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.