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Finding the Fourth Proportional to 509.24, 760.16 and 447.72

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Solution

The fourth proportional to 509.24, 760.16 and 447.72 is: 668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 760.16 = 447.72 : x
  2. Step 2: Convert to fraction form
    509.24/760.16 = 447.72/x
  3. Step 3: Cross multiply
    509.24x = 760.16 × 447.72
  4. Step 4: Simplify right side
    509.24x = 340,336.60
  5. Step 5: Solve for x
    x = 340,336.60/509.24
  6. Step 6: Final answer
    x = 668.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.