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Finding the Fourth Proportional to 701.98, 968.67 and 407.32

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Solution

The fourth proportional to 701.98, 968.67 and 407.32 is: 562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 968.67 = 407.32 : x
  2. Step 2: Convert to fraction form
    701.98/968.67 = 407.32/x
  3. Step 3: Cross multiply
    701.98x = 968.67 × 407.32
  4. Step 4: Simplify right side
    701.98x = 394,558.66
  5. Step 5: Solve for x
    x = 394,558.66/701.98
  6. Step 6: Final answer
    x = 562.07

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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.