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Finding the Fourth Proportional to 325.12, 448.48 and 214.60

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Solution

The fourth proportional to 325.12, 448.48 and 214.60 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.12 : 448.48 = 214.60 : x
  2. Step 2: Convert to fraction form
    325.12/448.48 = 214.60/x
  3. Step 3: Cross multiply
    325.12x = 448.48 × 214.60
  4. Step 4: Simplify right side
    325.12x = 96,243.81
  5. Step 5: Solve for x
    x = 96,243.81/325.12
  6. Step 6: Final answer
    x = 296.03

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Why These Related Problems?

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