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Finding the Fourth Proportional to 596, 821.76 and 471.84

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Solution

The fourth proportional to 596, 821.76 and 471.84 is: 650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 821.76 = 471.84 : x
  2. Step 2: Convert to fraction form
    596/821.76 = 471.84/x
  3. Step 3: Cross multiply
    596x = 821.76 × 471.84
  4. Step 4: Simplify right side
    596x = 387,739.24
  5. Step 5: Solve for x
    x = 387,739.24/596
  6. Step 6: Final answer
    x = 650.57

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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.