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Finding the Fourth Proportional to 667.95, 920.66 and 446.82

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Solution

The fourth proportional to 667.95, 920.66 and 446.82 is: 615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.95 : 920.66 = 446.82 : x
  2. Step 2: Convert to fraction form
    667.95/920.66 = 446.82/x
  3. Step 3: Cross multiply
    667.95x = 920.66 × 446.82
  4. Step 4: Simplify right side
    667.95x = 411,365.81
  5. Step 5: Solve for x
    x = 411,365.81/667.95
  6. Step 6: Final answer
    x = 615.87

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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.