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Finding the Fourth Proportional to 509.82, 703.53 and 323.25

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Solution

The fourth proportional to 509.82, 703.53 and 323.25 is: 446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.82 : 703.53 = 323.25 : x
  2. Step 2: Convert to fraction form
    509.82/703.53 = 323.25/x
  3. Step 3: Cross multiply
    509.82x = 703.53 × 323.25
  4. Step 4: Simplify right side
    509.82x = 227,416.07
  5. Step 5: Solve for x
    x = 227,416.07/509.82
  6. Step 6: Final answer
    x = 446.07

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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.