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Finding the Fourth Proportional to 572.84, 790.88 and 363.09

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Solution

The fourth proportional to 572.84, 790.88 and 363.09 is: 501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 790.88 = 363.09 : x
  2. Step 2: Convert to fraction form
    572.84/790.88 = 363.09/x
  3. Step 3: Cross multiply
    572.84x = 790.88 × 363.09
  4. Step 4: Simplify right side
    572.84x = 287,160.62
  5. Step 5: Solve for x
    x = 287,160.62/572.84
  6. Step 6: Final answer
    x = 501.29

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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.