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Finding the Fourth Proportional to 667.07, 920.33 and 446.17

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Solution

The fourth proportional to 667.07, 920.33 and 446.17 is: 615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.07 : 920.33 = 446.17 : x
  2. Step 2: Convert to fraction form
    667.07/920.33 = 446.17/x
  3. Step 3: Cross multiply
    667.07x = 920.33 × 446.17
  4. Step 4: Simplify right side
    667.07x = 410,623.64
  5. Step 5: Solve for x
    x = 410,623.64/667.07
  6. Step 6: Final answer
    x = 615.56

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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.