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Finding the Fourth Proportional to 446.64, 669.87 and 374.28

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Solution

The fourth proportional to 446.64, 669.87 and 374.28 is: 561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.64 : 669.87 = 374.28 : x
  2. Step 2: Convert to fraction form
    446.64/669.87 = 374.28/x
  3. Step 3: Cross multiply
    446.64x = 669.87 × 374.28
  4. Step 4: Simplify right side
    446.64x = 250,718.94
  5. Step 5: Solve for x
    x = 250,718.94/446.64
  6. Step 6: Final answer
    x = 561.34

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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.