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Finding the Fourth Proportional to 509.54, 762.94 and 277.34

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Solution

The fourth proportional to 509.54, 762.94 and 277.34 is: 415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 762.94 = 277.34 : x
  2. Step 2: Convert to fraction form
    509.54/762.94 = 277.34/x
  3. Step 3: Cross multiply
    509.54x = 762.94 × 277.34
  4. Step 4: Simplify right side
    509.54x = 211,593.78
  5. Step 5: Solve for x
    x = 211,593.78/509.54
  6. Step 6: Final answer
    x = 415.26

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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.