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Finding the Fourth Proportional to 509.11, 701.83 and 376.13

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Solution

The fourth proportional to 509.11, 701.83 and 376.13 is: 518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 701.83 = 376.13 : x
  2. Step 2: Convert to fraction form
    509.11/701.83 = 376.13/x
  3. Step 3: Cross multiply
    509.11x = 701.83 × 376.13
  4. Step 4: Simplify right side
    509.11x = 263,981.54
  5. Step 5: Solve for x
    x = 263,981.54/509.11
  6. Step 6: Final answer
    x = 518.52

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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.