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Finding the Fourth Proportional to 596.89, 824 and 534.47

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Solution

The fourth proportional to 596.89, 824 and 534.47 is: 737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.89 : 824 = 534.47 : x
  2. Step 2: Convert to fraction form
    596.89/824 = 534.47/x
  3. Step 3: Cross multiply
    596.89x = 824 × 534.47
  4. Step 4: Simplify right side
    596.89x = 440,403.28
  5. Step 5: Solve for x
    x = 440,403.28/596.89
  6. Step 6: Final answer
    x = 737.83

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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.