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Finding the Fourth Proportional to 553.67, 763.43 and 491.40

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Solution

The fourth proportional to 553.67, 763.43 and 491.40 is: 677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.67 : 763.43 = 491.40 : x
  2. Step 2: Convert to fraction form
    553.67/763.43 = 491.40/x
  3. Step 3: Cross multiply
    553.67x = 763.43 × 491.40
  4. Step 4: Simplify right side
    553.67x = 375,147.05
  5. Step 5: Solve for x
    x = 375,147.05/553.67
  6. Step 6: Final answer
    x = 677.57

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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.