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Finding the Fourth Proportional to 519.63, 717.06 and 310.04

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Solution

The fourth proportional to 519.63, 717.06 and 310.04 is: 427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.63 : 717.06 = 310.04 : x
  2. Step 2: Convert to fraction form
    519.63/717.06 = 310.04/x
  3. Step 3: Cross multiply
    519.63x = 717.06 × 310.04
  4. Step 4: Simplify right side
    519.63x = 222,319.08
  5. Step 5: Solve for x
    x = 222,319.08/519.63
  6. Step 6: Final answer
    x = 427.84

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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.