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Finding the Fourth Proportional to 509.30, 703.05 and 322.79

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Solution

The fourth proportional to 509.30, 703.05 and 322.79 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 703.05 = 322.79 : x
  2. Step 2: Convert to fraction form
    509.30/703.05 = 322.79/x
  3. Step 3: Cross multiply
    509.30x = 703.05 × 322.79
  4. Step 4: Simplify right side
    509.30x = 226,933.99
  5. Step 5: Solve for x
    x = 226,933.99/509.30
  6. Step 6: Final answer
    x = 445.58

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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.