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Finding the Fourth Proportional to 446.47, 669.83 and 186.42

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Solution

The fourth proportional to 446.47, 669.83 and 186.42 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.47 : 669.83 = 186.42 : x
  2. Step 2: Convert to fraction form
    446.47/669.83 = 186.42/x
  3. Step 3: Cross multiply
    446.47x = 669.83 × 186.42
  4. Step 4: Simplify right side
    446.47x = 124,869.71
  5. Step 5: Solve for x
    x = 124,869.71/446.47
  6. Step 6: Final answer
    x = 279.68

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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.