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Finding the Fourth Proportional to 446.39, 669.72 and 316.64

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Solution

The fourth proportional to 446.39, 669.72 and 316.64 is: 475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.39 : 669.72 = 316.64 : x
  2. Step 2: Convert to fraction form
    446.39/669.72 = 316.64/x
  3. Step 3: Cross multiply
    446.39x = 669.72 × 316.64
  4. Step 4: Simplify right side
    446.39x = 212,058.12
  5. Step 5: Solve for x
    x = 212,058.12/446.39
  6. Step 6: Final answer
    x = 475.05

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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.