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Finding the Fourth Proportional to 472.77, 653.00 and 361.98

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Solution

The fourth proportional to 472.77, 653.00 and 361.98 is: 499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 653.00 = 361.98 : x
  2. Step 2: Convert to fraction form
    472.77/653.00 = 361.98/x
  3. Step 3: Cross multiply
    472.77x = 653.00 × 361.98
  4. Step 4: Simplify right side
    472.77x = 236,371.13
  5. Step 5: Solve for x
    x = 236,371.13/472.77
  6. Step 6: Final answer
    x = 499.97

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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.