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Finding the Fourth Proportional to 701.45, 967.95 and 386.71

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Solution

The fourth proportional to 701.45, 967.95 and 386.71 is: 533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.45 : 967.95 = 386.71 : x
  2. Step 2: Convert to fraction form
    701.45/967.95 = 386.71/x
  3. Step 3: Cross multiply
    701.45x = 967.95 × 386.71
  4. Step 4: Simplify right side
    701.45x = 374,318.42
  5. Step 5: Solve for x
    x = 374,318.42/701.45
  6. Step 6: Final answer
    x = 533.64

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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.