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Finding the Fourth Proportional to 509.64, 765.36 and 379.68

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Solution

The fourth proportional to 509.64, 765.36 and 379.68 is: 570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 765.36 = 379.68 : x
  2. Step 2: Convert to fraction form
    509.64/765.36 = 379.68/x
  3. Step 3: Cross multiply
    509.64x = 765.36 × 379.68
  4. Step 4: Simplify right side
    509.64x = 290,591.88
  5. Step 5: Solve for x
    x = 290,591.88/509.64
  6. Step 6: Final answer
    x = 570.19

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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.