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Finding the Fourth Proportional to 446.47, 669.28 and 186.28

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Solution

The fourth proportional to 446.47, 669.28 and 186.28 is: 279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.47 : 669.28 = 186.28 : x
  2. Step 2: Convert to fraction form
    446.47/669.28 = 186.28/x
  3. Step 3: Cross multiply
    446.47x = 669.28 × 186.28
  4. Step 4: Simplify right side
    446.47x = 124,673.48
  5. Step 5: Solve for x
    x = 124,673.48/446.47
  6. Step 6: Final answer
    x = 279.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.