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Finding the Fourth Proportional to 509.09, 701.92 and 447.53

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Solution

The fourth proportional to 509.09, 701.92 and 447.53 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 701.92 = 447.53 : x
  2. Step 2: Convert to fraction form
    509.09/701.92 = 447.53/x
  3. Step 3: Cross multiply
    509.09x = 701.92 × 447.53
  4. Step 4: Simplify right side
    509.09x = 314,130.26
  5. Step 5: Solve for x
    x = 314,130.26/509.09
  6. Step 6: Final answer
    x = 617.04

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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.