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Finding the Fourth Proportional to 328.77, 492.92 and 174.53

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Solution

The fourth proportional to 328.77, 492.92 and 174.53 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.77 : 492.92 = 174.53 : x
  2. Step 2: Convert to fraction form
    328.77/492.92 = 174.53/x
  3. Step 3: Cross multiply
    328.77x = 492.92 × 174.53
  4. Step 4: Simplify right side
    328.77x = 86,029.33
  5. Step 5: Solve for x
    x = 86,029.33/328.77
  6. Step 6: Final answer
    x = 261.67

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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.