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Finding the Fourth Proportional to 325.40, 449.13 and 214.82

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Solution

The fourth proportional to 325.40, 449.13 and 214.82 is: 296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.40 : 449.13 = 214.82 : x
  2. Step 2: Convert to fraction form
    325.40/449.13 = 214.82/x
  3. Step 3: Cross multiply
    325.40x = 449.13 × 214.82
  4. Step 4: Simplify right side
    325.40x = 96,482.11
  5. Step 5: Solve for x
    x = 96,482.11/325.40
  6. Step 6: Final answer
    x = 296.50

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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.