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Finding the Fourth Proportional to 476.69, 711.29 and 422.01

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Solution

The fourth proportional to 476.69, 711.29 and 422.01 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 711.29 = 422.01 : x
  2. Step 2: Convert to fraction form
    476.69/711.29 = 422.01/x
  3. Step 3: Cross multiply
    476.69x = 711.29 × 422.01
  4. Step 4: Simplify right side
    476.69x = 300,169.38
  5. Step 5: Solve for x
    x = 300,169.38/476.69
  6. Step 6: Final answer
    x = 629.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.