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Finding the Fourth Proportional to 519.02, 715.78 and 344.06

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Solution

The fourth proportional to 519.02, 715.78 and 344.06 is: 474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.02 : 715.78 = 344.06 : x
  2. Step 2: Convert to fraction form
    519.02/715.78 = 344.06/x
  3. Step 3: Cross multiply
    519.02x = 715.78 × 344.06
  4. Step 4: Simplify right side
    519.02x = 246,273.49
  5. Step 5: Solve for x
    x = 246,273.49/519.02
  6. Step 6: Final answer
    x = 474.49

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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.