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Finding the Fourth Proportional to 820.35, 1,230.43 and 235.32

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Solution

The fourth proportional to 820.35, 1,230.43 and 235.32 is: 352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.35 : 1,230.43 = 235.32 : x
  2. Step 2: Convert to fraction form
    820.35/1,230.43 = 235.32/x
  3. Step 3: Cross multiply
    820.35x = 1,230.43 × 235.32
  4. Step 4: Simplify right side
    820.35x = 289,544.79
  5. Step 5: Solve for x
    x = 289,544.79/820.35
  6. Step 6: Final answer
    x = 352.95

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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.