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Finding the Fourth Proportional to 712.40, 983.24 and 417.68

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Solution

The fourth proportional to 712.40, 983.24 and 417.68 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.40 : 983.24 = 417.68 : x
  2. Step 2: Convert to fraction form
    712.40/983.24 = 417.68/x
  3. Step 3: Cross multiply
    712.40x = 983.24 × 417.68
  4. Step 4: Simplify right side
    712.40x = 410,679.68
  5. Step 5: Solve for x
    x = 410,679.68/712.40
  6. Step 6: Final answer
    x = 576.47

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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.