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Finding the Fourth Proportional to 485.23, 728.30 and 302.07

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Solution

The fourth proportional to 485.23, 728.30 and 302.07 is: 453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.23 : 728.30 = 302.07 : x
  2. Step 2: Convert to fraction form
    485.23/728.30 = 302.07/x
  3. Step 3: Cross multiply
    485.23x = 728.30 × 302.07
  4. Step 4: Simplify right side
    485.23x = 219,997.58
  5. Step 5: Solve for x
    x = 219,997.58/485.23
  6. Step 6: Final answer
    x = 453.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.