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Finding the Fourth Proportional to 712.59, 983.37 and 417.86

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Solution

The fourth proportional to 712.59, 983.37 and 417.86 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.59 : 983.37 = 417.86 : x
  2. Step 2: Convert to fraction form
    712.59/983.37 = 417.86/x
  3. Step 3: Cross multiply
    712.59x = 983.37 × 417.86
  4. Step 4: Simplify right side
    712.59x = 410,911.33
  5. Step 5: Solve for x
    x = 410,911.33/712.59
  6. Step 6: Final answer
    x = 576.65

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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.