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Finding the Fourth Proportional to 655.75, 904.92 and 361.01

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Solution

The fourth proportional to 655.75, 904.92 and 361.01 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.75 : 904.92 = 361.01 : x
  2. Step 2: Convert to fraction form
    655.75/904.92 = 361.01/x
  3. Step 3: Cross multiply
    655.75x = 904.92 × 361.01
  4. Step 4: Simplify right side
    655.75x = 326,688.33
  5. Step 5: Solve for x
    x = 326,688.33/655.75
  6. Step 6: Final answer
    x = 498.19

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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.