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Finding the Fourth Proportional to 450.60, 676.16 and 176.72

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Solution

The fourth proportional to 450.60, 676.16 and 176.72 is: 265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.60 : 676.16 = 176.72 : x
  2. Step 2: Convert to fraction form
    450.60/676.16 = 176.72/x
  3. Step 3: Cross multiply
    450.60x = 676.16 × 176.72
  4. Step 4: Simplify right side
    450.60x = 119,491.00
  5. Step 5: Solve for x
    x = 119,491.00/450.60
  6. Step 6: Final answer
    x = 265.18

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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.