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Finding the Fourth Proportional to 328.36, 491.37 and 290.08

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Solution

The fourth proportional to 328.36, 491.37 and 290.08 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.36 : 491.37 = 290.08 : x
  2. Step 2: Convert to fraction form
    328.36/491.37 = 290.08/x
  3. Step 3: Cross multiply
    328.36x = 491.37 × 290.08
  4. Step 4: Simplify right side
    328.36x = 142,536.61
  5. Step 5: Solve for x
    x = 142,536.61/328.36
  6. Step 6: Final answer
    x = 434.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.