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Finding the Fourth Proportional to 465.26, 641.70 and 325.62

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Solution

The fourth proportional to 465.26, 641.70 and 325.62 is: 449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.26 : 641.70 = 325.62 : x
  2. Step 2: Convert to fraction form
    465.26/641.70 = 325.62/x
  3. Step 3: Cross multiply
    465.26x = 641.70 × 325.62
  4. Step 4: Simplify right side
    465.26x = 208,950.35
  5. Step 5: Solve for x
    x = 208,950.35/465.26
  6. Step 6: Final answer
    x = 449.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.