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Finding the Fourth Proportional to 485.10, 670.41 and 361.17

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Solution

The fourth proportional to 485.10, 670.41 and 361.17 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.10 : 670.41 = 361.17 : x
  2. Step 2: Convert to fraction form
    485.10/670.41 = 361.17/x
  3. Step 3: Cross multiply
    485.10x = 670.41 × 361.17
  4. Step 4: Simplify right side
    485.10x = 242,131.98
  5. Step 5: Solve for x
    x = 242,131.98/485.10
  6. Step 6: Final answer
    x = 499.14

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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.