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Finding the Fourth Proportional to 712.49, 983.20 and 417.74

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Solution

The fourth proportional to 712.49, 983.20 and 417.74 is: 576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.49 : 983.20 = 417.74 : x
  2. Step 2: Convert to fraction form
    712.49/983.20 = 417.74/x
  3. Step 3: Cross multiply
    712.49x = 983.20 × 417.74
  4. Step 4: Simplify right side
    712.49x = 410,719.88
  5. Step 5: Solve for x
    x = 410,719.88/712.49
  6. Step 6: Final answer
    x = 576.46

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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.