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Finding the Fourth Proportional to 604.47, 906.44 and 357.81

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Solution

The fourth proportional to 604.47, 906.44 and 357.81 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.47 : 906.44 = 357.81 : x
  2. Step 2: Convert to fraction form
    604.47/906.44 = 357.81/x
  3. Step 3: Cross multiply
    604.47x = 906.44 × 357.81
  4. Step 4: Simplify right side
    604.47x = 324,331.51
  5. Step 5: Solve for x
    x = 324,331.51/604.47
  6. Step 6: Final answer
    x = 536.56

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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.