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Finding the Fourth Proportional to 712.48, 983.08 and 417.68

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Solution

The fourth proportional to 712.48, 983.08 and 417.68 is: 576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.48 : 983.08 = 417.68 : x
  2. Step 2: Convert to fraction form
    712.48/983.08 = 417.68/x
  3. Step 3: Cross multiply
    712.48x = 983.08 × 417.68
  4. Step 4: Simplify right side
    712.48x = 410,612.85
  5. Step 5: Solve for x
    x = 410,612.85/712.48
  6. Step 6: Final answer
    x = 576.31

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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.