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Finding the Fourth Proportional to 328.68, 491.76 and 191.82

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Solution

The fourth proportional to 328.68, 491.76 and 191.82 is: 286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.68 : 491.76 = 191.82 : x
  2. Step 2: Convert to fraction form
    328.68/491.76 = 191.82/x
  3. Step 3: Cross multiply
    328.68x = 491.76 × 191.82
  4. Step 4: Simplify right side
    328.68x = 94,329.40
  5. Step 5: Solve for x
    x = 94,329.40/328.68
  6. Step 6: Final answer
    x = 286.99

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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.