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Finding the Fourth Proportional to 452.65, 678.45 and 192.49

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Solution

The fourth proportional to 452.65, 678.45 and 192.49 is: 288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.65 : 678.45 = 192.49 : x
  2. Step 2: Convert to fraction form
    452.65/678.45 = 192.49/x
  3. Step 3: Cross multiply
    452.65x = 678.45 × 192.49
  4. Step 4: Simplify right side
    452.65x = 130,596.14
  5. Step 5: Solve for x
    x = 130,596.14/452.65
  6. Step 6: Final answer
    x = 288.51

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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.