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Finding the Fourth Proportional to 713.87, 985.42 and 465.40

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Solution

The fourth proportional to 713.87, 985.42 and 465.40 is: 642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.87 : 985.42 = 465.40 : x
  2. Step 2: Convert to fraction form
    713.87/985.42 = 465.40/x
  3. Step 3: Cross multiply
    713.87x = 985.42 × 465.40
  4. Step 4: Simplify right side
    713.87x = 458,609.54
  5. Step 5: Solve for x
    x = 458,609.54/713.87
  6. Step 6: Final answer
    x = 642.43

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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.