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Finding the Fourth Proportional to 450.69, 675.58 and 176.40

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Solution

The fourth proportional to 450.69, 675.58 and 176.40 is: 264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.69 : 675.58 = 176.40 : x
  2. Step 2: Convert to fraction form
    450.69/675.58 = 176.40/x
  3. Step 3: Cross multiply
    450.69x = 675.58 × 176.40
  4. Step 4: Simplify right side
    450.69x = 119,171.43
  5. Step 5: Solve for x
    x = 119,171.43/450.69
  6. Step 6: Final answer
    x = 264.42

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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.