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Finding the Fourth Proportional to 656.71, 906.27 and 361.98

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Solution

The fourth proportional to 656.71, 906.27 and 361.98 is: 499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.71 : 906.27 = 361.98 : x
  2. Step 2: Convert to fraction form
    656.71/906.27 = 361.98/x
  3. Step 3: Cross multiply
    656.71x = 906.27 × 361.98
  4. Step 4: Simplify right side
    656.71x = 328,045.92
  5. Step 5: Solve for x
    x = 328,045.92/656.71
  6. Step 6: Final answer
    x = 499.53

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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.