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Finding the Fourth Proportional to 713, 984 and 402.56

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Solution

The fourth proportional to 713, 984 and 402.56 is: 555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713 : 984 = 402.56 : x
  2. Step 2: Convert to fraction form
    713/984 = 402.56/x
  3. Step 3: Cross multiply
    713x = 984 × 402.56
  4. Step 4: Simplify right side
    713x = 396,119.04
  5. Step 5: Solve for x
    x = 396,119.04/713
  6. Step 6: Final answer
    x = 555.57

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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.