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Finding the Fourth Proportional to 712.96, 983.90 and 398.24

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Solution

The fourth proportional to 712.96, 983.90 and 398.24 is: 549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 983.90 = 398.24 : x
  2. Step 2: Convert to fraction form
    712.96/983.90 = 398.24/x
  3. Step 3: Cross multiply
    712.96x = 983.90 × 398.24
  4. Step 4: Simplify right side
    712.96x = 391,826.87
  5. Step 5: Solve for x
    x = 391,826.87/712.96
  6. Step 6: Final answer
    x = 549.58

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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.