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Finding the Fourth Proportional to 509.19, 762.17 and 431.43

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Solution

The fourth proportional to 509.19, 762.17 and 431.43 is: 645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 762.17 = 431.43 : x
  2. Step 2: Convert to fraction form
    509.19/762.17 = 431.43/x
  3. Step 3: Cross multiply
    509.19x = 762.17 × 431.43
  4. Step 4: Simplify right side
    509.19x = 328,820.85
  5. Step 5: Solve for x
    x = 328,820.85/509.19
  6. Step 6: Final answer
    x = 645.77

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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.