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Finding the Fourth Proportional to 655.75, 904.97 and 361.02

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Solution

The fourth proportional to 655.75, 904.97 and 361.02 is: 498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.75 : 904.97 = 361.02 : x
  2. Step 2: Convert to fraction form
    655.75/904.97 = 361.02/x
  3. Step 3: Cross multiply
    655.75x = 904.97 × 361.02
  4. Step 4: Simplify right side
    655.75x = 326,712.27
  5. Step 5: Solve for x
    x = 326,712.27/655.75
  6. Step 6: Final answer
    x = 498.23

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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.