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Finding the Fourth Proportional to 850.40, 1,275.58 and 234.11

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Solution

The fourth proportional to 850.40, 1,275.58 and 234.11 is: 351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.40 : 1,275.58 = 234.11 : x
  2. Step 2: Convert to fraction form
    850.40/1,275.58 = 234.11/x
  3. Step 3: Cross multiply
    850.40x = 1,275.58 × 234.11
  4. Step 4: Simplify right side
    850.40x = 298,622.34
  5. Step 5: Solve for x
    x = 298,622.34/850.40
  6. Step 6: Final answer
    x = 351.16

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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.