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Finding the Fourth Proportional to 676.24, 1,014.33 and 368.72

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Solution

The fourth proportional to 676.24, 1,014.33 and 368.72 is: 553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.24 : 1,014.33 = 368.72 : x
  2. Step 2: Convert to fraction form
    676.24/1,014.33 = 368.72/x
  3. Step 3: Cross multiply
    676.24x = 1,014.33 × 368.72
  4. Step 4: Simplify right side
    676.24x = 374,003.76
  5. Step 5: Solve for x
    x = 374,003.76/676.24
  6. Step 6: Final answer
    x = 553.06

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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.