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Finding the Fourth Proportional to 604.56, 832.73 and 429.60

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Solution

The fourth proportional to 604.56, 832.73 and 429.60 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 832.73 = 429.60 : x
  2. Step 2: Convert to fraction form
    604.56/832.73 = 429.60/x
  3. Step 3: Cross multiply
    604.56x = 832.73 × 429.60
  4. Step 4: Simplify right side
    604.56x = 357,738.66
  5. Step 5: Solve for x
    x = 357,738.66/604.56
  6. Step 6: Final answer
    x = 591.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.