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Finding the Fourth Proportional to 328.96, 493.44 and 192.05

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Solution

The fourth proportional to 328.96, 493.44 and 192.05 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 493.44 = 192.05 : x
  2. Step 2: Convert to fraction form
    328.96/493.44 = 192.05/x
  3. Step 3: Cross multiply
    328.96x = 493.44 × 192.05
  4. Step 4: Simplify right side
    328.96x = 94,763.51
  5. Step 5: Solve for x
    x = 94,763.51/328.96
  6. Step 6: Final answer
    x = 288.07

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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.