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Finding the Fourth Proportional to 519.44, 711.75 and 514.64

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Solution

The fourth proportional to 519.44, 711.75 and 514.64 is: 705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 711.75 = 514.64 : x
  2. Step 2: Convert to fraction form
    519.44/711.75 = 514.64/x
  3. Step 3: Cross multiply
    519.44x = 711.75 × 514.64
  4. Step 4: Simplify right side
    519.44x = 366,292.45
  5. Step 5: Solve for x
    x = 366,292.45/519.44
  6. Step 6: Final answer
    x = 705.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.