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Finding the Fourth Proportional to 325.58, 487.67 and 201.87

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Solution

The fourth proportional to 325.58, 487.67 and 201.87 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.58 : 487.67 = 201.87 : x
  2. Step 2: Convert to fraction form
    325.58/487.67 = 201.87/x
  3. Step 3: Cross multiply
    325.58x = 487.67 × 201.87
  4. Step 4: Simplify right side
    325.58x = 98,444.93
  5. Step 5: Solve for x
    x = 98,444.93/325.58
  6. Step 6: Final answer
    x = 302.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.