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Finding the Fourth Proportional to 328.81, 452.63 and 299.42

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Solution

The fourth proportional to 328.81, 452.63 and 299.42 is: 412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.81 : 452.63 = 299.42 : x
  2. Step 2: Convert to fraction form
    328.81/452.63 = 299.42/x
  3. Step 3: Cross multiply
    328.81x = 452.63 × 299.42
  4. Step 4: Simplify right side
    328.81x = 135,526.47
  5. Step 5: Solve for x
    x = 135,526.47/328.81
  6. Step 6: Final answer
    x = 412.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.