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Finding the Fourth Proportional to 509.27, 700.79 and 462.69

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Solution

The fourth proportional to 509.27, 700.79 and 462.69 is: 636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 700.79 = 462.69 : x
  2. Step 2: Convert to fraction form
    509.27/700.79 = 462.69/x
  3. Step 3: Cross multiply
    509.27x = 700.79 × 462.69
  4. Step 4: Simplify right side
    509.27x = 324,246.21
  5. Step 5: Solve for x
    x = 324,246.21/509.27
  6. Step 6: Final answer
    x = 636.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.