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Finding the Fourth Proportional to 465.79, 641.68 and 325.64

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Solution

The fourth proportional to 465.79, 641.68 and 325.64 is: 448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.79 : 641.68 = 325.64 : x
  2. Step 2: Convert to fraction form
    465.79/641.68 = 325.64/x
  3. Step 3: Cross multiply
    465.79x = 641.68 × 325.64
  4. Step 4: Simplify right side
    465.79x = 208,956.65
  5. Step 5: Solve for x
    x = 208,956.65/465.79
  6. Step 6: Final answer
    x = 448.61

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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.