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Finding the Fourth Proportional to 667.87, 921.66 and 373.14

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Solution

The fourth proportional to 667.87, 921.66 and 373.14 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.87 : 921.66 = 373.14 : x
  2. Step 2: Convert to fraction form
    667.87/921.66 = 373.14/x
  3. Step 3: Cross multiply
    667.87x = 921.66 × 373.14
  4. Step 4: Simplify right side
    667.87x = 343,908.21
  5. Step 5: Solve for x
    x = 343,908.21/667.87
  6. Step 6: Final answer
    x = 514.93

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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.