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Finding the Fourth Proportional to 676.96, 1,015.35 and 238.13

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Solution

The fourth proportional to 676.96, 1,015.35 and 238.13 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.96 : 1,015.35 = 238.13 : x
  2. Step 2: Convert to fraction form
    676.96/1,015.35 = 238.13/x
  3. Step 3: Cross multiply
    676.96x = 1,015.35 × 238.13
  4. Step 4: Simplify right side
    676.96x = 241,782.76
  5. Step 5: Solve for x
    x = 241,782.76/676.96
  6. Step 6: Final answer
    x = 357.16

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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.