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Finding the Fourth Proportional to 452.69, 678.28 and 322.04

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Solution

The fourth proportional to 452.69, 678.28 and 322.04 is: 482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.69 : 678.28 = 322.04 : x
  2. Step 2: Convert to fraction form
    452.69/678.28 = 322.04/x
  3. Step 3: Cross multiply
    452.69x = 678.28 × 322.04
  4. Step 4: Simplify right side
    452.69x = 218,433.29
  5. Step 5: Solve for x
    x = 218,433.29/452.69
  6. Step 6: Final answer
    x = 482.52

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Why These Related Problems?

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