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Finding the Fourth Proportional to 519.94, 717.52 and 312.94

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Solution

The fourth proportional to 519.94, 717.52 and 312.94 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 717.52 = 312.94 : x
  2. Step 2: Convert to fraction form
    519.94/717.52 = 312.94/x
  3. Step 3: Cross multiply
    519.94x = 717.52 × 312.94
  4. Step 4: Simplify right side
    519.94x = 224,538.13
  5. Step 5: Solve for x
    x = 224,538.13/519.94
  6. Step 6: Final answer
    x = 431.86

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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.