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Finding the Fourth Proportional to 472.49, 651.76 and 361.92

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Solution

The fourth proportional to 472.49, 651.76 and 361.92 is: 499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.49 : 651.76 = 361.92 : x
  2. Step 2: Convert to fraction form
    472.49/651.76 = 361.92/x
  3. Step 3: Cross multiply
    472.49x = 651.76 × 361.92
  4. Step 4: Simplify right side
    472.49x = 235,884.98
  5. Step 5: Solve for x
    x = 235,884.98/472.49
  6. Step 6: Final answer
    x = 499.24

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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.