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Finding the Fourth Proportional to 325.86, 450.05 and 253.05

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Solution

The fourth proportional to 325.86, 450.05 and 253.05 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.86 : 450.05 = 253.05 : x
  2. Step 2: Convert to fraction form
    325.86/450.05 = 253.05/x
  3. Step 3: Cross multiply
    325.86x = 450.05 × 253.05
  4. Step 4: Simplify right side
    325.86x = 113,883.89
  5. Step 5: Solve for x
    x = 113,883.89/325.86
  6. Step 6: Final answer
    x = 349.49

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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.