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Finding the Fourth Proportional to 515.86, 711.90 and 306.03

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Solution

The fourth proportional to 515.86, 711.90 and 306.03 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.86 : 711.90 = 306.03 : x
  2. Step 2: Convert to fraction form
    515.86/711.90 = 306.03/x
  3. Step 3: Cross multiply
    515.86x = 711.90 × 306.03
  4. Step 4: Simplify right side
    515.86x = 217,862.76
  5. Step 5: Solve for x
    x = 217,862.76/515.86
  6. Step 6: Final answer
    x = 422.33

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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.