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Finding the Fourth Proportional to 681.80, 941.00 and 433.04

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Solution

The fourth proportional to 681.80, 941.00 and 433.04 is: 597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.80 : 941.00 = 433.04 : x
  2. Step 2: Convert to fraction form
    681.80/941.00 = 433.04/x
  3. Step 3: Cross multiply
    681.80x = 941.00 × 433.04
  4. Step 4: Simplify right side
    681.80x = 407,483.77
  5. Step 5: Solve for x
    x = 407,483.77/681.80
  6. Step 6: Final answer
    x = 597.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.