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Finding the Fourth Proportional to 515.67, 711.73 and 403.42

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Solution

The fourth proportional to 515.67, 711.73 and 403.42 is: 556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.67 : 711.73 = 403.42 : x
  2. Step 2: Convert to fraction form
    515.67/711.73 = 403.42/x
  3. Step 3: Cross multiply
    515.67x = 711.73 × 403.42
  4. Step 4: Simplify right side
    515.67x = 287,122.88
  5. Step 5: Solve for x
    x = 287,122.88/515.67
  6. Step 6: Final answer
    x = 556.79

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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.