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Finding the Fourth Proportional to 521.67, 718.26 and 442.82

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Solution

The fourth proportional to 521.67, 718.26 and 442.82 is: 609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 718.26 = 442.82 : x
  2. Step 2: Convert to fraction form
    521.67/718.26 = 442.82/x
  3. Step 3: Cross multiply
    521.67x = 718.26 × 442.82
  4. Step 4: Simplify right side
    521.67x = 318,056.30
  5. Step 5: Solve for x
    x = 318,056.30/521.67
  6. Step 6: Final answer
    x = 609.69

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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.