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Finding the Fourth Proportional to 596.64, 823.38 and 363.72

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Solution

The fourth proportional to 596.64, 823.38 and 363.72 is: 501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 823.38 = 363.72 : x
  2. Step 2: Convert to fraction form
    596.64/823.38 = 363.72/x
  3. Step 3: Cross multiply
    596.64x = 823.38 × 363.72
  4. Step 4: Simplify right side
    596.64x = 299,479.77
  5. Step 5: Solve for x
    x = 299,479.77/596.64
  6. Step 6: Final answer
    x = 501.94

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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.