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Finding the Fourth Proportional to 515.74, 711.76 and 305.98

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Solution

The fourth proportional to 515.74, 711.76 and 305.98 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.74 : 711.76 = 305.98 : x
  2. Step 2: Convert to fraction form
    515.74/711.76 = 305.98/x
  3. Step 3: Cross multiply
    515.74x = 711.76 × 305.98
  4. Step 4: Simplify right side
    515.74x = 217,784.32
  5. Step 5: Solve for x
    x = 217,784.32/515.74
  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.