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Finding the Fourth Proportional to 676.40, 1,014.45 and 265.40

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Solution

The fourth proportional to 676.40, 1,014.45 and 265.40 is: 398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.40 : 1,014.45 = 265.40 : x
  2. Step 2: Convert to fraction form
    676.40/1,014.45 = 265.40/x
  3. Step 3: Cross multiply
    676.40x = 1,014.45 × 265.40
  4. Step 4: Simplify right side
    676.40x = 269,235.03
  5. Step 5: Solve for x
    x = 269,235.03/676.40
  6. Step 6: Final answer
    x = 398.04

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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.