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Finding the Fourth Proportional to 509.18, 703.01 and 376.43

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Solution

The fourth proportional to 509.18, 703.01 and 376.43 is: 519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.18 : 703.01 = 376.43 : x
  2. Step 2: Convert to fraction form
    509.18/703.01 = 376.43/x
  3. Step 3: Cross multiply
    509.18x = 703.01 × 376.43
  4. Step 4: Simplify right side
    509.18x = 264,631.48
  5. Step 5: Solve for x
    x = 264,631.48/509.18
  6. Step 6: Final answer
    x = 519.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.