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Finding the Fourth Proportional to 485.26, 728.06 and 290.37

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Solution

The fourth proportional to 485.26, 728.06 and 290.37 is: 435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.26 : 728.06 = 290.37 : x
  2. Step 2: Convert to fraction form
    485.26/728.06 = 290.37/x
  3. Step 3: Cross multiply
    485.26x = 728.06 × 290.37
  4. Step 4: Simplify right side
    485.26x = 211,406.78
  5. Step 5: Solve for x
    x = 211,406.78/485.26
  6. Step 6: Final answer
    x = 435.66

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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.