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Finding the Fourth Proportional to 509.45, 703.37 and 411.65

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Solution

The fourth proportional to 509.45, 703.37 and 411.65 is: 568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.45 : 703.37 = 411.65 : x
  2. Step 2: Convert to fraction form
    509.45/703.37 = 411.65/x
  3. Step 3: Cross multiply
    509.45x = 703.37 × 411.65
  4. Step 4: Simplify right side
    509.45x = 289,540.20
  5. Step 5: Solve for x
    x = 289,540.20/509.45
  6. Step 6: Final answer
    x = 568.34

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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.