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Finding the Fourth Proportional to 656.54, 906.04 and 361.80

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Solution

The fourth proportional to 656.54, 906.04 and 361.80 is: 499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.54 : 906.04 = 361.80 : x
  2. Step 2: Convert to fraction form
    656.54/906.04 = 361.80/x
  3. Step 3: Cross multiply
    656.54x = 906.04 × 361.80
  4. Step 4: Simplify right side
    656.54x = 327,798.93
  5. Step 5: Solve for x
    x = 327,798.93/656.54
  6. Step 6: Final answer
    x = 499.29

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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.