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Finding the Fourth Proportional to 325.29, 485.07 and 282.27

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Solution

The fourth proportional to 325.29, 485.07 and 282.27 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.29 : 485.07 = 282.27 : x
  2. Step 2: Convert to fraction form
    325.29/485.07 = 282.27/x
  3. Step 3: Cross multiply
    325.29x = 485.07 × 282.27
  4. Step 4: Simplify right side
    325.29x = 136,920.71
  5. Step 5: Solve for x
    x = 136,920.71/325.29
  6. Step 6: Final answer
    x = 420.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.