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Finding the Fourth Proportional to 852.81, 1,278.60 and 332.37

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Solution

The fourth proportional to 852.81, 1,278.60 and 332.37 is: 498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.81 : 1,278.60 = 332.37 : x
  2. Step 2: Convert to fraction form
    852.81/1,278.60 = 332.37/x
  3. Step 3: Cross multiply
    852.81x = 1,278.60 × 332.37
  4. Step 4: Simplify right side
    852.81x = 424,968.28
  5. Step 5: Solve for x
    x = 424,968.28/852.81
  6. Step 6: Final answer
    x = 498.32

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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.