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Finding the Fourth Proportional to 900.42, 1,350.81 and 352.68

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Solution

The fourth proportional to 900.42, 1,350.81 and 352.68 is: 529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.42 : 1,350.81 = 352.68 : x
  2. Step 2: Convert to fraction form
    900.42/1,350.81 = 352.68/x
  3. Step 3: Cross multiply
    900.42x = 1,350.81 × 352.68
  4. Step 4: Simplify right side
    900.42x = 476,403.67
  5. Step 5: Solve for x
    x = 476,403.67/900.42
  6. Step 6: Final answer
    x = 529.09

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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.