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Finding the Fourth Proportional to 325.81, 448.53 and 252.01

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Solution

The fourth proportional to 325.81, 448.53 and 252.01 is: 346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.81 : 448.53 = 252.01 : x
  2. Step 2: Convert to fraction form
    325.81/448.53 = 252.01/x
  3. Step 3: Cross multiply
    325.81x = 448.53 × 252.01
  4. Step 4: Simplify right side
    325.81x = 113,031.80
  5. Step 5: Solve for x
    x = 113,031.80/325.81
  6. Step 6: Final answer
    x = 346.93

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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.