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Finding the Fourth Proportional to 328.76, 492.32 and 251.40

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Solution

The fourth proportional to 328.76, 492.32 and 251.40 is: 376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.76 : 492.32 = 251.40 : x
  2. Step 2: Convert to fraction form
    328.76/492.32 = 251.40/x
  3. Step 3: Cross multiply
    328.76x = 492.32 × 251.40
  4. Step 4: Simplify right side
    328.76x = 123,769.25
  5. Step 5: Solve for x
    x = 123,769.25/328.76
  6. Step 6: Final answer
    x = 376.47

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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.