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Finding the Fourth Proportional to 328.31, 492.00 and 224.10

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Solution

The fourth proportional to 328.31, 492.00 and 224.10 is: 335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.31 : 492.00 = 224.10 : x
  2. Step 2: Convert to fraction form
    328.31/492.00 = 224.10/x
  3. Step 3: Cross multiply
    328.31x = 492.00 × 224.10
  4. Step 4: Simplify right side
    328.31x = 110,256.99
  5. Step 5: Solve for x
    x = 110,256.99/328.31
  6. Step 6: Final answer
    x = 335.83

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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.