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Finding the Fourth Proportional to 521.68, 720.86 and 496.36

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Solution

The fourth proportional to 521.68, 720.86 and 496.36 is: 685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.68 : 720.86 = 496.36 : x
  2. Step 2: Convert to fraction form
    521.68/720.86 = 496.36/x
  3. Step 3: Cross multiply
    521.68x = 720.86 × 496.36
  4. Step 4: Simplify right side
    521.68x = 357,806.07
  5. Step 5: Solve for x
    x = 357,806.07/521.68
  6. Step 6: Final answer
    x = 685.87

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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.