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Finding the Fourth Proportional to 519.58, 717.01 and 283.53

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Solution

The fourth proportional to 519.58, 717.01 and 283.53 is: 391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.58 : 717.01 = 283.53 : x
  2. Step 2: Convert to fraction form
    519.58/717.01 = 283.53/x
  3. Step 3: Cross multiply
    519.58x = 717.01 × 283.53
  4. Step 4: Simplify right side
    519.58x = 203,298.09
  5. Step 5: Solve for x
    x = 203,298.09/519.58
  6. Step 6: Final answer
    x = 391.27

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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.