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Finding the Fourth Proportional to 406.47, 609.75 and 382.71

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Solution

The fourth proportional to 406.47, 609.75 and 382.71 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 609.75 = 382.71 : x
  2. Step 2: Convert to fraction form
    406.47/609.75 = 382.71/x
  3. Step 3: Cross multiply
    406.47x = 609.75 × 382.71
  4. Step 4: Simplify right side
    406.47x = 233,357.42
  5. Step 5: Solve for x
    x = 233,357.42/406.47
  6. Step 6: Final answer
    x = 574.11

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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.