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Finding the Fourth Proportional to 476.69, 661.06 and 461.70

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Solution

The fourth proportional to 476.69, 661.06 and 461.70 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 661.06 = 461.70 : x
  2. Step 2: Convert to fraction form
    476.69/661.06 = 461.70/x
  3. Step 3: Cross multiply
    476.69x = 661.06 × 461.70
  4. Step 4: Simplify right side
    476.69x = 305,211.98
  5. Step 5: Solve for x
    x = 305,211.98/476.69
  6. Step 6: Final answer
    x = 640.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.