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Finding the Fourth Proportional to 446.68, 615.67 and 322.15

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Solution

The fourth proportional to 446.68, 615.67 and 322.15 is: 444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 615.67 = 322.15 : x
  2. Step 2: Convert to fraction form
    446.68/615.67 = 322.15/x
  3. Step 3: Cross multiply
    446.68x = 615.67 × 322.15
  4. Step 4: Simplify right side
    446.68x = 198,338.09
  5. Step 5: Solve for x
    x = 198,338.09/446.68
  6. Step 6: Final answer
    x = 444.03

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Why These Related Problems?

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