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Finding the Fourth Proportional to 325.35, 448.65 and 214.77

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Solution

The fourth proportional to 325.35, 448.65 and 214.77 is: 296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.35 : 448.65 = 214.77 : x
  2. Step 2: Convert to fraction form
    325.35/448.65 = 214.77/x
  3. Step 3: Cross multiply
    325.35x = 448.65 × 214.77
  4. Step 4: Simplify right side
    325.35x = 96,356.56
  5. Step 5: Solve for x
    x = 96,356.56/325.35
  6. Step 6: Final answer
    x = 296.16

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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.