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Finding the Fourth Proportional to 655.80, 904.99 and 361.06

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Solution

The fourth proportional to 655.80, 904.99 and 361.06 is: 498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.80 : 904.99 = 361.06 : x
  2. Step 2: Convert to fraction form
    655.80/904.99 = 361.06/x
  3. Step 3: Cross multiply
    655.80x = 904.99 × 361.06
  4. Step 4: Simplify right side
    655.80x = 326,755.69
  5. Step 5: Solve for x
    x = 326,755.69/655.80
  6. Step 6: Final answer
    x = 498.26

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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.