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Finding the Fourth Proportional to 328.04, 452.14 and 229.62

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Solution

The fourth proportional to 328.04, 452.14 and 229.62 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.04 : 452.14 = 229.62 : x
  2. Step 2: Convert to fraction form
    328.04/452.14 = 229.62/x
  3. Step 3: Cross multiply
    328.04x = 452.14 × 229.62
  4. Step 4: Simplify right side
    328.04x = 103,820.39
  5. Step 5: Solve for x
    x = 103,820.39/328.04
  6. Step 6: Final answer
    x = 316.49

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Why These Related Problems?

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