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Finding the Fourth Proportional to 701.32, 967.88 and 386.63

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Solution

The fourth proportional to 701.32, 967.88 and 386.63 is: 533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.32 : 967.88 = 386.63 : x
  2. Step 2: Convert to fraction form
    701.32/967.88 = 386.63/x
  3. Step 3: Cross multiply
    701.32x = 967.88 × 386.63
  4. Step 4: Simplify right side
    701.32x = 374,209.51
  5. Step 5: Solve for x
    x = 374,209.51/701.32
  6. Step 6: Final answer
    x = 533.58

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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.