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Finding the Fourth Proportional to 446.25, 615.69 and 353.01

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Solution

The fourth proportional to 446.25, 615.69 and 353.01 is: 487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.25 : 615.69 = 353.01 : x
  2. Step 2: Convert to fraction form
    446.25/615.69 = 353.01/x
  3. Step 3: Cross multiply
    446.25x = 615.69 × 353.01
  4. Step 4: Simplify right side
    446.25x = 217,344.73
  5. Step 5: Solve for x
    x = 217,344.73/446.25
  6. Step 6: Final answer
    x = 487.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.