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Finding the Fourth Proportional to 596.79, 821.69 and 542.12

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Solution

The fourth proportional to 596.79, 821.69 and 542.12 is: 746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.79 : 821.69 = 542.12 : x
  2. Step 2: Convert to fraction form
    596.79/821.69 = 542.12/x
  3. Step 3: Cross multiply
    596.79x = 821.69 × 542.12
  4. Step 4: Simplify right side
    596.79x = 445,447.76
  5. Step 5: Solve for x
    x = 445,447.76/596.79
  6. Step 6: Final answer
    x = 746.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.