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Finding the Fourth Proportional to 509.94, 703.62 and 323.46

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Solution

The fourth proportional to 509.94, 703.62 and 323.46 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 703.62 = 323.46 : x
  2. Step 2: Convert to fraction form
    509.94/703.62 = 323.46/x
  3. Step 3: Cross multiply
    509.94x = 703.62 × 323.46
  4. Step 4: Simplify right side
    509.94x = 227,592.93
  5. Step 5: Solve for x
    x = 227,592.93/509.94
  6. Step 6: Final answer
    x = 446.31

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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.