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Finding the Fourth Proportional to 515.99, 711.91 and 306.07

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Solution

The fourth proportional to 515.99, 711.91 and 306.07 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.99 : 711.91 = 306.07 : x
  2. Step 2: Convert to fraction form
    515.99/711.91 = 306.07/x
  3. Step 3: Cross multiply
    515.99x = 711.91 × 306.07
  4. Step 4: Simplify right side
    515.99x = 217,894.29
  5. Step 5: Solve for x
    x = 217,894.29/515.99
  6. Step 6: Final answer
    x = 422.28

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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.