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Finding the Fourth Proportional to 485.35, 728.11 and 177.64

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Solution

The fourth proportional to 485.35, 728.11 and 177.64 is: 266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.35 : 728.11 = 177.64 : x
  2. Step 2: Convert to fraction form
    485.35/728.11 = 177.64/x
  3. Step 3: Cross multiply
    485.35x = 728.11 × 177.64
  4. Step 4: Simplify right side
    485.35x = 129,337.82
  5. Step 5: Solve for x
    x = 129,337.82/485.35
  6. Step 6: Final answer
    x = 266.48

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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.