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Finding the Fourth Proportional to 515.92, 711.71 and 306.00

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Solution

The fourth proportional to 515.92, 711.71 and 306.00 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.92 : 711.71 = 306.00 : x
  2. Step 2: Convert to fraction form
    515.92/711.71 = 306.00/x
  3. Step 3: Cross multiply
    515.92x = 711.71 × 306.00
  4. Step 4: Simplify right side
    515.92x = 217,785.74
  5. Step 5: Solve for x
    x = 217,785.74/515.92
  6. Step 6: Final answer
    x = 422.13

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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.