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Finding the Fourth Proportional to 328.99, 491.49 and 212.49

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Solution

The fourth proportional to 328.99, 491.49 and 212.49 is: 317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.99 : 491.49 = 212.49 : x
  2. Step 2: Convert to fraction form
    328.99/491.49 = 212.49/x
  3. Step 3: Cross multiply
    328.99x = 491.49 × 212.49
  4. Step 4: Simplify right side
    328.99x = 104,434.25
  5. Step 5: Solve for x
    x = 104,434.25/328.99
  6. Step 6: Final answer
    x = 317.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.