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Finding the Fourth Proportional to 712.44, 983.38 and 432.68

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Solution

The fourth proportional to 712.44, 983.38 and 432.68 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 983.38 = 432.68 : x
  2. Step 2: Convert to fraction form
    712.44/983.38 = 432.68/x
  3. Step 3: Cross multiply
    712.44x = 983.38 × 432.68
  4. Step 4: Simplify right side
    712.44x = 425,488.86
  5. Step 5: Solve for x
    x = 425,488.86/712.44
  6. Step 6: Final answer
    x = 597.23

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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.