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Finding the Fourth Proportional to 328.29, 492.06 and 191.45

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Solution

The fourth proportional to 328.29, 492.06 and 191.45 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.29 : 492.06 = 191.45 : x
  2. Step 2: Convert to fraction form
    328.29/492.06 = 191.45/x
  3. Step 3: Cross multiply
    328.29x = 492.06 × 191.45
  4. Step 4: Simplify right side
    328.29x = 94,204.89
  5. Step 5: Solve for x
    x = 94,204.89/328.29
  6. Step 6: Final answer
    x = 286.96

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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.