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Finding the Fourth Proportional to 509.27, 701.19 and 446.72

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Solution

The fourth proportional to 509.27, 701.19 and 446.72 is: 615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 701.19 = 446.72 : x
  2. Step 2: Convert to fraction form
    509.27/701.19 = 446.72/x
  3. Step 3: Cross multiply
    509.27x = 701.19 × 446.72
  4. Step 4: Simplify right side
    509.27x = 313,232.09
  5. Step 5: Solve for x
    x = 313,232.09/509.27
  6. Step 6: Final answer
    x = 615.07

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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.