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Finding the Fourth Proportional to 509.25, 703.17 and 398.54

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Solution

The fourth proportional to 509.25, 703.17 and 398.54 is: 550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 703.17 = 398.54 : x
  2. Step 2: Convert to fraction form
    509.25/703.17 = 398.54/x
  3. Step 3: Cross multiply
    509.25x = 703.17 × 398.54
  4. Step 4: Simplify right side
    509.25x = 280,237.86
  5. Step 5: Solve for x
    x = 280,237.86/509.25
  6. Step 6: Final answer
    x = 550.30

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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.