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Finding the Fourth Proportional to 596.16, 823.50 and 471.96

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Solution

The fourth proportional to 596.16, 823.50 and 471.96 is: 651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 823.50 = 471.96 : x
  2. Step 2: Convert to fraction form
    596.16/823.50 = 471.96/x
  3. Step 3: Cross multiply
    596.16x = 823.50 × 471.96
  4. Step 4: Simplify right side
    596.16x = 388,659.06
  5. Step 5: Solve for x
    x = 388,659.06/596.16
  6. Step 6: Final answer
    x = 651.94

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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.