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Finding the Fourth Proportional to 509.18, 764.70 and 452.70

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Solution

The fourth proportional to 509.18, 764.70 and 452.70 is: 679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.18 : 764.70 = 452.70 : x
  2. Step 2: Convert to fraction form
    509.18/764.70 = 452.70/x
  3. Step 3: Cross multiply
    509.18x = 764.70 × 452.70
  4. Step 4: Simplify right side
    509.18x = 346,179.69
  5. Step 5: Solve for x
    x = 346,179.69/509.18
  6. Step 6: Final answer
    x = 679.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.