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Finding the Fourth Proportional to 521.69, 783.05 and 391.23

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Solution

The fourth proportional to 521.69, 783.05 and 391.23 is: 587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.69 : 783.05 = 391.23 : x
  2. Step 2: Convert to fraction form
    521.69/783.05 = 391.23/x
  3. Step 3: Cross multiply
    521.69x = 783.05 × 391.23
  4. Step 4: Simplify right side
    521.69x = 306,350.70
  5. Step 5: Solve for x
    x = 306,350.70/521.69
  6. Step 6: Final answer
    x = 587.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.