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Finding the Fourth Proportional to 523.56, 718.65 and 494.76

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Solution

The fourth proportional to 523.56, 718.65 and 494.76 is: 679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 718.65 = 494.76 : x
  2. Step 2: Convert to fraction form
    523.56/718.65 = 494.76/x
  3. Step 3: Cross multiply
    523.56x = 718.65 × 494.76
  4. Step 4: Simplify right side
    523.56x = 355,559.27
  5. Step 5: Solve for x
    x = 355,559.27/523.56
  6. Step 6: Final answer
    x = 679.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.