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Finding the Fourth Proportional to 328.12, 452.58 and 229.84

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Solution

The fourth proportional to 328.12, 452.58 and 229.84 is: 317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.12 : 452.58 = 229.84 : x
  2. Step 2: Convert to fraction form
    328.12/452.58 = 229.84/x
  3. Step 3: Cross multiply
    328.12x = 452.58 × 229.84
  4. Step 4: Simplify right side
    328.12x = 104,020.99
  5. Step 5: Solve for x
    x = 104,020.99/328.12
  6. Step 6: Final answer
    x = 317.02

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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.