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Finding the Fourth Proportional to 572.29, 790.33 and 493.16

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Solution

The fourth proportional to 572.29, 790.33 and 493.16 is: 681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.29 : 790.33 = 493.16 : x
  2. Step 2: Convert to fraction form
    572.29/790.33 = 493.16/x
  3. Step 3: Cross multiply
    572.29x = 790.33 × 493.16
  4. Step 4: Simplify right side
    572.29x = 389,757.52
  5. Step 5: Solve for x
    x = 389,757.52/572.29
  6. Step 6: Final answer
    x = 681.05

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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.