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Finding the Fourth Proportional to 476.26, 715.11 and 422.50

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Solution

The fourth proportional to 476.26, 715.11 and 422.50 is: 634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 715.11 = 422.50 : x
  2. Step 2: Convert to fraction form
    476.26/715.11 = 422.50/x
  3. Step 3: Cross multiply
    476.26x = 715.11 × 422.50
  4. Step 4: Simplify right side
    476.26x = 302,133.98
  5. Step 5: Solve for x
    x = 302,133.98/476.26
  6. Step 6: Final answer
    x = 634.39

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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.