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Finding the Fourth Proportional to 405.73, 604.77 and 402.54

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Solution

The fourth proportional to 405.73, 604.77 and 402.54 is: 600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.73 : 604.77 = 402.54 : x
  2. Step 2: Convert to fraction form
    405.73/604.77 = 402.54/x
  3. Step 3: Cross multiply
    405.73x = 604.77 × 402.54
  4. Step 4: Simplify right side
    405.73x = 243,445.44
  5. Step 5: Solve for x
    x = 243,445.44/405.73
  6. Step 6: Final answer
    x = 600.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.