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Finding the Fourth Proportional to 442.68, 662.10 and 362.04

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Solution

The fourth proportional to 442.68, 662.10 and 362.04 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 662.10 = 362.04 : x
  2. Step 2: Convert to fraction form
    442.68/662.10 = 362.04/x
  3. Step 3: Cross multiply
    442.68x = 662.10 × 362.04
  4. Step 4: Simplify right side
    442.68x = 239,706.68
  5. Step 5: Solve for x
    x = 239,706.68/442.68
  6. Step 6: Final answer
    x = 541.49

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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.