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Finding the Fourth Proportional to 328.05, 491.67 and 293.22

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Solution

The fourth proportional to 328.05, 491.67 and 293.22 is: 439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.05 : 491.67 = 293.22 : x
  2. Step 2: Convert to fraction form
    328.05/491.67 = 293.22/x
  3. Step 3: Cross multiply
    328.05x = 491.67 × 293.22
  4. Step 4: Simplify right side
    328.05x = 144,167.48
  5. Step 5: Solve for x
    x = 144,167.48/328.05
  6. Step 6: Final answer
    x = 439.47

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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.