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Finding the Fourth Proportional to 596.98, 824.20 and 534.70

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Solution

The fourth proportional to 596.98, 824.20 and 534.70 is: 738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.98 : 824.20 = 534.70 : x
  2. Step 2: Convert to fraction form
    596.98/824.20 = 534.70/x
  3. Step 3: Cross multiply
    596.98x = 824.20 × 534.70
  4. Step 4: Simplify right side
    596.98x = 440,699.74
  5. Step 5: Solve for x
    x = 440,699.74/596.98
  6. Step 6: Final answer
    x = 738.22

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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.