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Finding the Fourth Proportional to 519.40, 714.90 and 363.88

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Solution

The fourth proportional to 519.40, 714.90 and 363.88 is: 500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 714.90 = 363.88 : x
  2. Step 2: Convert to fraction form
    519.40/714.90 = 363.88/x
  3. Step 3: Cross multiply
    519.40x = 714.90 × 363.88
  4. Step 4: Simplify right side
    519.40x = 260,137.81
  5. Step 5: Solve for x
    x = 260,137.81/519.40
  6. Step 6: Final answer
    x = 500.84

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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.