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Finding the Fourth Proportional to 713.03, 983.90 and 433.33

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Solution

The fourth proportional to 713.03, 983.90 and 433.33 is: 597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.03 : 983.90 = 433.33 : x
  2. Step 2: Convert to fraction form
    713.03/983.90 = 433.33/x
  3. Step 3: Cross multiply
    713.03x = 983.90 × 433.33
  4. Step 4: Simplify right side
    713.03x = 426,353.39
  5. Step 5: Solve for x
    x = 426,353.39/713.03
  6. Step 6: Final answer
    x = 597.95

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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.