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Finding the Fourth Proportional to 519.81, 717.33 and 286.93

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Solution

The fourth proportional to 519.81, 717.33 and 286.93 is: 395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.81 : 717.33 = 286.93 : x
  2. Step 2: Convert to fraction form
    519.81/717.33 = 286.93/x
  3. Step 3: Cross multiply
    519.81x = 717.33 × 286.93
  4. Step 4: Simplify right side
    519.81x = 205,823.50
  5. Step 5: Solve for x
    x = 205,823.50/519.81
  6. Step 6: Final answer
    x = 395.96

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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.