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Finding the Fourth Proportional to 701.71, 968.50 and 465.67

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Solution

The fourth proportional to 701.71, 968.50 and 465.67 is: 642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.71 : 968.50 = 465.67 : x
  2. Step 2: Convert to fraction form
    701.71/968.50 = 465.67/x
  3. Step 3: Cross multiply
    701.71x = 968.50 × 465.67
  4. Step 4: Simplify right side
    701.71x = 450,994.22
  5. Step 5: Solve for x
    x = 450,994.22/701.71
  6. Step 6: Final answer
    x = 642.71

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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.