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Finding the Fourth Proportional to 670.69, 1,006.33 and 397.31

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Solution

The fourth proportional to 670.69, 1,006.33 and 397.31 is: 596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.69 : 1,006.33 = 397.31 : x
  2. Step 2: Convert to fraction form
    670.69/1,006.33 = 397.31/x
  3. Step 3: Cross multiply
    670.69x = 1,006.33 × 397.31
  4. Step 4: Simplify right side
    670.69x = 399,824.97
  5. Step 5: Solve for x
    x = 399,824.97/670.69
  6. Step 6: Final answer
    x = 596.14

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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.