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Finding the Fourth Proportional to 676.15, 1,013.61 and 243

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Solution

The fourth proportional to 676.15, 1,013.61 and 243 is: 364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.15 : 1,013.61 = 243 : x
  2. Step 2: Convert to fraction form
    676.15/1,013.61 = 243/x
  3. Step 3: Cross multiply
    676.15x = 1,013.61 × 243
  4. Step 4: Simplify right side
    676.15x = 246,308.14
  5. Step 5: Solve for x
    x = 246,308.14/676.15
  6. Step 6: Final answer
    x = 364.28

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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.