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Finding the Fourth Proportional to 442.68, 660.20 and 378.09

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Solution

The fourth proportional to 442.68, 660.20 and 378.09 is: 563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 660.20 = 378.09 : x
  2. Step 2: Convert to fraction form
    442.68/660.20 = 378.09/x
  3. Step 3: Cross multiply
    442.68x = 660.20 × 378.09
  4. Step 4: Simplify right side
    442.68x = 249,613.13
  5. Step 5: Solve for x
    x = 249,613.13/442.68
  6. Step 6: Final answer
    x = 563.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.