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Finding the Fourth Proportional to 509.51, 703.09 and 322.97

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Solution

The fourth proportional to 509.51, 703.09 and 322.97 is: 445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.51 : 703.09 = 322.97 : x
  2. Step 2: Convert to fraction form
    509.51/703.09 = 322.97/x
  3. Step 3: Cross multiply
    509.51x = 703.09 × 322.97
  4. Step 4: Simplify right side
    509.51x = 227,076.98
  5. Step 5: Solve for x
    x = 227,076.98/509.51
  6. Step 6: Final answer
    x = 445.68

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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.