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Finding the Fourth Proportional to 681.90, 941.03 and 416.31

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Solution

The fourth proportional to 681.90, 941.03 and 416.31 is: 574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.90 : 941.03 = 416.31 : x
  2. Step 2: Convert to fraction form
    681.90/941.03 = 416.31/x
  3. Step 3: Cross multiply
    681.90x = 941.03 × 416.31
  4. Step 4: Simplify right side
    681.90x = 391,766.43
  5. Step 5: Solve for x
    x = 391,766.43/681.90
  6. Step 6: Final answer
    x = 574.52

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1.5x scale

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.