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Finding the Fourth Proportional to 667.68, 921.42 and 373.02

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Solution

The fourth proportional to 667.68, 921.42 and 373.02 is: 514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 921.42 = 373.02 : x
  2. Step 2: Convert to fraction form
    667.68/921.42 = 373.02/x
  3. Step 3: Cross multiply
    667.68x = 921.42 × 373.02
  4. Step 4: Simplify right side
    667.68x = 343,708.09
  5. Step 5: Solve for x
    x = 343,708.09/667.68
  6. Step 6: Final answer
    x = 514.78

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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.