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Finding the Fourth Proportional to 667.68, 920.90 and 446.24

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Solution

The fourth proportional to 667.68, 920.90 and 446.24 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 920.90 = 446.24 : x
  2. Step 2: Convert to fraction form
    667.68/920.90 = 446.24/x
  3. Step 3: Cross multiply
    667.68x = 920.90 × 446.24
  4. Step 4: Simplify right side
    667.68x = 410,945.83
  5. Step 5: Solve for x
    x = 410,945.83/667.68
  6. Step 6: Final answer
    x = 615.49

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1.5x scale

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.