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Finding the Fourth Proportional to 328.25, 493.46 and 274.25

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Solution

The fourth proportional to 328.25, 493.46 and 274.25 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.25 : 493.46 = 274.25 : x
  2. Step 2: Convert to fraction form
    328.25/493.46 = 274.25/x
  3. Step 3: Cross multiply
    328.25x = 493.46 × 274.25
  4. Step 4: Simplify right side
    328.25x = 135,332.30
  5. Step 5: Solve for x
    x = 135,332.30/328.25
  6. Step 6: Final answer
    x = 412.28

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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.