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Finding the Fourth Proportional to 701.18, 967.57 and 421.30

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Solution

The fourth proportional to 701.18, 967.57 and 421.30 is: 581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.18 : 967.57 = 421.30 : x
  2. Step 2: Convert to fraction form
    701.18/967.57 = 421.30/x
  3. Step 3: Cross multiply
    701.18x = 967.57 × 421.30
  4. Step 4: Simplify right side
    701.18x = 407,638.58
  5. Step 5: Solve for x
    x = 407,638.58/701.18
  6. Step 6: Final answer
    x = 581.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.