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Finding the Fourth Proportional to 904.55, 1,357.20 and 442.73

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Solution

The fourth proportional to 904.55, 1,357.20 and 442.73 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.55 : 1,357.20 = 442.73 : x
  2. Step 2: Convert to fraction form
    904.55/1,357.20 = 442.73/x
  3. Step 3: Cross multiply
    904.55x = 1,357.20 × 442.73
  4. Step 4: Simplify right side
    904.55x = 600,876.55
  5. Step 5: Solve for x
    x = 600,876.55/904.55
  6. Step 6: Final answer
    x = 664.29

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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.