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Finding the Fourth Proportional to 452.39, 678.13 and 192.56

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Solution

The fourth proportional to 452.39, 678.13 and 192.56 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.39 : 678.13 = 192.56 : x
  2. Step 2: Convert to fraction form
    452.39/678.13 = 192.56/x
  3. Step 3: Cross multiply
    452.39x = 678.13 × 192.56
  4. Step 4: Simplify right side
    452.39x = 130,579.38
  5. Step 5: Solve for x
    x = 130,579.38/452.39
  6. Step 6: Final answer
    x = 288.64

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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.