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Finding the Fourth Proportional to 325.29, 448.52 and 262.93

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Solution

The fourth proportional to 325.29, 448.52 and 262.93 is: 362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.29 : 448.52 = 262.93 : x
  2. Step 2: Convert to fraction form
    325.29/448.52 = 262.93/x
  3. Step 3: Cross multiply
    325.29x = 448.52 × 262.93
  4. Step 4: Simplify right side
    325.29x = 117,929.36
  5. Step 5: Solve for x
    x = 117,929.36/325.29
  6. Step 6: Final answer
    x = 362.54

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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.