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Finding the Fourth Proportional to 521.93, 718.62 and 443.09

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Solution

The fourth proportional to 521.93, 718.62 and 443.09 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.93 : 718.62 = 443.09 : x
  2. Step 2: Convert to fraction form
    521.93/718.62 = 443.09/x
  3. Step 3: Cross multiply
    521.93x = 718.62 × 443.09
  4. Step 4: Simplify right side
    521.93x = 318,408.63
  5. Step 5: Solve for x
    x = 318,408.63/521.93
  6. Step 6: Final answer
    x = 610.07

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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.