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Finding the Fourth Proportional to 655.83, 905.06 and 361.13

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Solution

The fourth proportional to 655.83, 905.06 and 361.13 is: 498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.83 : 905.06 = 361.13 : x
  2. Step 2: Convert to fraction form
    655.83/905.06 = 361.13/x
  3. Step 3: Cross multiply
    655.83x = 905.06 × 361.13
  4. Step 4: Simplify right side
    655.83x = 326,837.99
  5. Step 5: Solve for x
    x = 326,837.99/655.83
  6. Step 6: Final answer
    x = 498.36

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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.