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Finding the Fourth Proportional to 596.46, 822.50 and 471.93

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Solution

The fourth proportional to 596.46, 822.50 and 471.93 is: 650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 822.50 = 471.93 : x
  2. Step 2: Convert to fraction form
    596.46/822.50 = 471.93/x
  3. Step 3: Cross multiply
    596.46x = 822.50 × 471.93
  4. Step 4: Simplify right side
    596.46x = 388,157.13
  5. Step 5: Solve for x
    x = 388,157.13/596.46
  6. Step 6: Final answer
    x = 650.77

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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.