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Finding the Fourth Proportional to 713.01, 984.23 and 433.29

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Solution

The fourth proportional to 713.01, 984.23 and 433.29 is: 598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.01 : 984.23 = 433.29 : x
  2. Step 2: Convert to fraction form
    713.01/984.23 = 433.29/x
  3. Step 3: Cross multiply
    713.01x = 984.23 × 433.29
  4. Step 4: Simplify right side
    713.01x = 426,449.93
  5. Step 5: Solve for x
    x = 426,449.93/713.01
  6. Step 6: Final answer
    x = 598.10

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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.