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Finding the Fourth Proportional to 476.67, 713.70 and 361.17

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Solution

The fourth proportional to 476.67, 713.70 and 361.17 is: 540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.67 : 713.70 = 361.17 : x
  2. Step 2: Convert to fraction form
    476.67/713.70 = 361.17/x
  3. Step 3: Cross multiply
    476.67x = 713.70 × 361.17
  4. Step 4: Simplify right side
    476.67x = 257,767.03
  5. Step 5: Solve for x
    x = 257,767.03/476.67
  6. Step 6: Final answer
    x = 540.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.