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Finding the Fourth Proportional to 450.61, 676.29 and 176.89

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Solution

The fourth proportional to 450.61, 676.29 and 176.89 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.61 : 676.29 = 176.89 : x
  2. Step 2: Convert to fraction form
    450.61/676.29 = 176.89/x
  3. Step 3: Cross multiply
    450.61x = 676.29 × 176.89
  4. Step 4: Simplify right side
    450.61x = 119,629.18
  5. Step 5: Solve for x
    x = 119,629.18/450.61
  6. Step 6: Final answer
    x = 265.48

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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.